113308631524728 has 192 divisors, whose sum is σ = 324029946240000. Its totient is φ = 35670932202240.

The previous prime is 113308631524727. The next prime is 113308631524757. The reversal of 113308631524728 is 827425136803311.

113308631524728 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 0 + 86 + 31 + 524 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113308631524727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 739202878 + ... + 739356146.

It is an arithmetic number, because the mean of its divisors is an integer number (1687655970000).

Almost surely, 2^{113308631524728} is an apocalyptic number.

113308631524728 is a gapful number since it is divisible by the number (18) 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 113308631524728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162014973120000).

113308631524728 is an abundant number, since it is smaller than the sum of its proper divisors (210721314715272).

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

113308631524728 is a wasteful number, since it uses less digits than its factorization.

113308631524728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154970 (or 154963 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 113308631524728 in words is "one hundred thirteen trillion, three hundred eight billion, six hundred thirty-one million, five hundred twenty-four thousand, seven hundred twenty-eight".