113377157660160 has 480 divisors, whose sum is σ = 402095984209920. Its totient is φ = 29508198580224.

The previous prime is 113377157660119. The next prime is 113377157660197. The reversal of 113377157660160 is 61066751773311.

It is a happy number.

113377157660160 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 7 + 7 + 1 + 576 + 6 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 113377157660097 and 113377157660106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1314642321 + ... + 1314728559.

It is an arithmetic number, because the mean of its divisors is an integer number (837699967104).

Almost surely, 2^{113377157660160} is an apocalyptic number.

113377157660160 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 113377157660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201047992104960).

113377157660160 is an abundant number, since it is smaller than the sum of its proper divisors (288718826549760).

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

113377157660160 is a wasteful number, since it uses less digits than its factorization.

113377157660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87638 (or 87619 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The spelling of 113377157660160 in words is "one hundred thirteen trillion, three hundred seventy-seven billion, one hundred fifty-seven million, six hundred sixty thousand, one hundred sixty".