113824073828160 has 1120 divisors, whose sum is σ = 433328901651360. Its totient is φ = 28305280991232.

The previous prime is 113824073828111. The next prime is 113824073828191. The reversal of 113824073828160 is 61828370428311.

113824073828160 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 240 + 7 + 382 + 8 + 16 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1478150187264 + 112345923640896 = 1215792^2 + 10599336^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 113824073828097 and 113824073828106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3810250984 + ... + 3810280856.

Almost surely, 2^{113824073828160} is an apocalyptic number.

113824073828160 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 113824073828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216664450825680).

113824073828160 is an abundant number, since it is smaller than the sum of its proper divisors (319504827823200).

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

113824073828160 is a wasteful number, since it uses less digits than its factorization.

113824073828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30105 (or 30086 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 113824073828160 in words is "one hundred thirteen trillion, eight hundred twenty-four billion, seventy-three million, eight hundred twenty-eight thousand, one hundred sixty".