112318424064 has 528 divisors, whose sum is σ = 422172624960. Its totient is φ = 29169745920.

The previous prime is 112318424027. The next prime is 112318424117. The reversal of 112318424064 is 460424813211.

112318424064 is a `hidden beast` number, since 11 + 231 + 8 + 4 + 2 + 406 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (36) 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 (36).

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 47 ways as a sum of consecutive naturals, for example, 14898504 + ... + 14906040.

Almost surely, 2^112318424064 is an apocalyptic number.

112318424064 is a gapful number since it is divisible by the number (14) 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 112318424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211086312480).

112318424064 is an abundant number, since it is smaller than the sum of its proper divisors (309854200896).

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

112318424064 is a wasteful number, since it uses less digits than its factorization.

112318424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7591 (or 7560 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 112318424064 in words is "one hundred twelve billion, three hundred eighteen million, four hundred twenty-four thousand, sixty-four".