113272332810048 has 168 divisors, whose sum is σ = 325608561537480. Its totient is φ = 37648987914240.

The previous prime is 113272332810031. The next prime is 113272332810059. The reversal of 113272332810048 is 840018233272311.

113272332810048 is a `hidden beast` number, since 1 + 1 + 3 + 272 + 3 + 328 + 10 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16662462753024 + 96609870057024 = 4081968^2 + 9829032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 113272332809985 and 113272332810012.

It is a congruent number.

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, 297862908 + ... + 298242948.

Almost surely, 2^{113272332810048} is an apocalyptic number.

113272332810048 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 113272332810048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162804280768740).

113272332810048 is an abundant number, since it is smaller than the sum of its proper divisors (212336228727432).

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

113272332810048 is a wasteful number, since it uses less digits than its factorization.

113272332810048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381545 (or 381532 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 113272332810048 in words is "one hundred thirteen trillion, two hundred seventy-two billion, three hundred thirty-two million, eight hundred ten thousand, forty-eight".