112868864640 has 1024 divisors, whose sum is σ = 488738304000. Its totient is φ = 24043143168.

The previous prime is 112868864629. The next prime is 112868864657. The reversal of 112868864640 is 46468868211.

It is a happy number.

112868864640 is a `hidden beast` number, since 112 + 8 + 68 + 8 + 6 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153981714 + ... + 153982446.

It is an arithmetic number, because the mean of its divisors is an integer number (477283500).

Almost surely, 2^112868864640 is an apocalyptic number.

112868864640 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 112868864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244369152000).

112868864640 is an abundant number, since it is smaller than the sum of its proper divisors (375869439360).

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

112868864640 is a wasteful number, since it uses less digits than its factorization.

112868864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 112868864640 in words is "one hundred twelve billion, eight hundred sixty-eight million, eight hundred sixty-four thousand, six hundred forty".