113672318760 has 1152 divisors, whose sum is σ = 523895299200. Its totient is φ = 21790218240.

The previous prime is 113672318759. The next prime is 113672318801. The reversal of 113672318760 is 67813276311.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 68107206 + ... + 68108874.

It is an arithmetic number, because the mean of its divisors is an integer number (454770225).

Almost surely, 2^113672318760 is an apocalyptic number.

113672318760 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 113672318760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261947649600).

113672318760 is an abundant number, since it is smaller than the sum of its proper divisors (410222980440).

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

113672318760 is a wasteful number, since it uses less digits than its factorization.

113672318760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 113672318760 in words is "one hundred thirteen billion, six hundred seventy-two million, three hundred eighteen thousand, seven hundred sixty".