113941475269632 has 440 divisors, whose sum is σ = 357950614388400. Its totient is φ = 36049235410944.

The previous prime is 113941475269553. The next prime is 113941475269639. The reversal of 113941475269632 is 236962574149311.

113941475269632 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 4 + 1 + 47 + 526 + 9 + 63 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 113941475269632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113941475269639) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 141515748 + ... + 142318620.

It is an arithmetic number, because the mean of its divisors is an integer number (813524123610).

Almost surely, 2^{113941475269632} is an apocalyptic number.

113941475269632 is a gapful number since it is divisible by the number (12) 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 113941475269632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178975307194200).

113941475269632 is an abundant number, since it is smaller than the sum of its proper divisors (244009139118768).

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

113941475269632 is an equidigital number, since it uses as much as digits as its factorization.

113941475269632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802993 (or 802966 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 113941475269632 in words is "one hundred thirteen trillion, nine hundred forty-one billion, four hundred seventy-five million, two hundred sixty-nine thousand, six hundred thirty-two".