114741835956 has 180 divisors, whose sum is σ = 334230560356. Its totient is φ = 34293093120.

The previous prime is 114741835931. The next prime is 114741835969. The reversal of 114741835956 is 659538147411.

114741835956 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 41 + 8 + 3 + 595 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31403384100 + 83338451856 = 177210^2 + 288684^2 .

It is a super-2 number, since 2×114741835956² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2841846 + ... + 2881938.

Almost surely, 2^114741835956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114741835956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167115280178).

114741835956 is an abundant number, since it is smaller than the sum of its proper divisors (219488724400).

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

114741835956 is a wasteful number, since it uses less digits than its factorization.

114741835956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40204 (or 40182 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 114741835956 in words is "one hundred fourteen billion, seven hundred forty-one million, eight hundred thirty-five thousand, nine hundred fifty-six".