112664872320 has 1536 divisors, whose sum is σ = 506397588480. Its totient is φ = 20570112000.

The previous prime is 112664872319. The next prime is 112664872339. The reversal of 112664872320 is 23278466211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1846965090 + ... + 1846965150.

It is an arithmetic number, because the mean of its divisors is an integer number (329685930).

Almost surely, 2^112664872320 is an apocalyptic number.

112664872320 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 112664872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253198794240).

112664872320 is an abundant number, since it is smaller than the sum of its proper divisors (393732716160).

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

112664872320 is a wasteful number, since it uses less digits than its factorization.

112664872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 112664872320 in words is "one hundred twelve billion, six hundred sixty-four million, eight hundred seventy-two thousand, three hundred twenty".