113457206016 has 648 divisors, whose sum is σ = 419630125824. Its totient is φ = 29150392320.

The previous prime is 113457206011. The next prime is 113457206039. The reversal of 113457206016 is 610602754311.

113457206016 is a `hidden beast` number, since 1 + 1 + 3 + 45 + 7 + 2 + 0 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113457206011) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 127910725 + ... + 127911611.

Almost surely, 2^113457206016 is an apocalyptic number.

113457206016 is a gapful number since it is divisible by the number (16) 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 113457206016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209815062912).

113457206016 is an abundant number, since it is smaller than the sum of its proper divisors (306172919808).

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

113457206016 is a wasteful number, since it uses less digits than its factorization.

113457206016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 113457206016 in words is "one hundred thirteen billion, four hundred fifty-seven million, two hundred six thousand, sixteen".