113601857967360 has 324 divisors, whose sum is σ = 457222123032948. Its totient is φ = 25966138834944.

The previous prime is 113601857967329. The next prime is 113601857967391. The reversal of 113601857967360 is 63769758106311.

It is a happy number.

113601857967360 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 0 + 185 + 7 + 96 + 7 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (113601857967329) and next prime (113601857967391).

It can be written as a sum of positive squares in 2 ways, for example, as 33546893313024 + 80054964654336 = 5791968^2 + 8947344^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100060749 + ... + 101189708.

It is an arithmetic number, because the mean of its divisors is an integer number (1411179392077).

Almost surely, 2^{113601857967360} is an apocalyptic number.

113601857967360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113601857967360 is an abundant number, since it is smaller than the sum of its proper divisors (343620265065588).

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

113601857967360 is a wasteful number, since it uses less digits than its factorization.

113601857967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201250498 (or 201250474 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 113601857967360 in words is "one hundred thirteen trillion, six hundred one billion, eight hundred fifty-seven million, nine hundred sixty-seven thousand, three hundred sixty".