112640514660 has 144 divisors (see below), whose sum is σ = 360933168960. Its totient is φ = 28355754240.

The previous prime is 112640514647. The next prime is 112640514671. The reversal of 112640514660 is 66415046211.

112640514660 is a `hidden beast` number, since 1 + 1 + 2 + 640 + 5 + 1 + 4 + 6 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909670 + ... + 1026050.

It is an arithmetic number, because the mean of its divisors is an integer number (2506480340).

Almost surely, 2^112640514660 is an apocalyptic number.

112640514660 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 112640514660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180466584480).

112640514660 is an abundant number, since it is smaller than the sum of its proper divisors (248292654300).

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

112640514660 is a wasteful number, since it uses less digits than its factorization.

112640514660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116698 (or 116693 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 112640514660 in words is "one hundred twelve billion, six hundred forty million, five hundred fourteen thousand, six hundred sixty".