113249415168 has 728 divisors, whose sum is σ = 379024174368. Its totient is φ = 33634123776.

The previous prime is 113249415079. The next prime is 113249415197. The reversal of 113249415168 is 861514942311.

113249415168 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 494 + 151 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1167519696 + ... + 1167519792.

Almost surely, 2^113249415168 is an apocalyptic number.

113249415168 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 113249415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189512087184).

113249415168 is an abundant number, since it is smaller than the sum of its proper divisors (265774759200).

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

113249415168 is an frugal number, since it uses more digits than its factorization.

113249415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 142 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 113249415168 in words is "one hundred thirteen billion, two hundred forty-nine million, four hundred fifteen thousand, one hundred sixty-eight".