113465681352 has 96 divisors (see below), whose sum is σ = 309321698400. Its totient is φ = 37573846272.

The previous prime is 113465681333. The next prime is 113465681393. The reversal of 113465681352 is 253186564311.

113465681352 is a `hidden beast` number, since 1 + 1 + 34 + 6 + 568 + 1 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113465681298 and 113465681307.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15294348 + ... + 15301764.

It is an arithmetic number, because the mean of its divisors is an integer number (3222101025).

Almost surely, 2^113465681352 is an apocalyptic number.

113465681352 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 113465681352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154660849200).

113465681352 is an abundant number, since it is smaller than the sum of its proper divisors (195856017048).

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

113465681352 is a wasteful number, since it uses less digits than its factorization.

113465681352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8795 (or 8788 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 113465681352 in words is "one hundred thirteen billion, four hundred sixty-five million, six hundred eighty-one thousand, three hundred fifty-two".