114814014840 has 768 divisors, whose sum is σ = 466871040000. Its totient is φ = 24991110144.

The previous prime is 114814014829. The next prime is 114814014841. The reversal of 114814014840 is 48410418411.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114814014795 and 114814014804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114814014841) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121239247 + ... + 121240193.

It is an arithmetic number, because the mean of its divisors is an integer number (607905000).

Almost surely, 2^114814014840 is an apocalyptic number.

114814014840 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 114814014840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233435520000).

114814014840 is an abundant number, since it is smaller than the sum of its proper divisors (352057025160).

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

114814014840 is a wasteful number, since it uses less digits than its factorization.

114814014840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 114814014840 in words is "one hundred fourteen billion, eight hundred fourteen million, fourteen thousand, eight hundred forty".