114014200520 has 96 divisors (see below), whose sum is σ = 282287791800. Its totient is φ = 41413447680.

The previous prime is 114014200493. The next prime is 114014200607. The reversal of 114014200520 is 25002410411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46587768964 + 67426431556 = 215842^2 + 259666^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114014200492 and 114014200501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4483682 + ... + 4509038.

Almost surely, 2^114014200520 is an apocalyptic number.

114014200520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114014200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141143895900).

114014200520 is an abundant number, since it is smaller than the sum of its proper divisors (168273591280).

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

114014200520 is a wasteful number, since it uses less digits than its factorization.

114014200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26319 (or 26304 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 114014200520 its reverse (25002410411), we get a palindrome (139016610931).

The spelling of 114014200520 in words is "one hundred fourteen billion, fourteen million, two hundred thousand, five hundred twenty".