113512181760 has 364 divisors, whose sum is σ = 408460859112. Its totient is φ = 30265933824.

The previous prime is 113512181749. The next prime is 113512181777. The reversal of 113512181760 is 67181215311.

It is a happy number.

113512181760 is a `hidden beast` number, since 1 + 1 + 3 + 512 + 1 + 81 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14926119 + ... + 14933721.

Almost surely, 2^113512181760 is an apocalyptic number.

113512181760 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 113512181760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204230429556).

113512181760 is an abundant number, since it is smaller than the sum of its proper divisors (294948677352).

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

113512181760 is an frugal number, since it uses more digits than its factorization.

113512181760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 113512181760 in words is "one hundred thirteen billion, five hundred twelve million, one hundred eighty-one thousand, seven hundred sixty".