114011404020 has 36 divisors (see below), whose sum is σ = 345834592740. Its totient is φ = 30403041024.

The previous prime is 114011404019. The next prime is 114011404021. The reversal of 114011404020 is 20404110411.

114011404020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (114011404019) and next prime (114011404021).

It can be written as a sum of positive squares in 2 ways, for example, as 47599021584 + 66412382436 = 218172^2 + 257706^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×114011404020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114011403984 and 114011404002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114011404021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316698165 + ... + 316698524.

It is an arithmetic number, because the mean of its divisors is an integer number (9606516465).

Almost surely, 2^114011404020 is an apocalyptic number.

114011404020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114011404020 is an abundant number, since it is smaller than the sum of its proper divisors (231823188720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114011404020 is a wasteful number, since it uses less digits than its factorization.

114011404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633396704 (or 633396699 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 114011404020 its reverse (20404110411), we get a palindrome (134415514431).

The spelling of 114011404020 in words is "one hundred fourteen billion, eleven million, four hundred four thousand, twenty".