112565372640 has 384 divisors, whose sum is σ = 410754032640. Its totient is φ = 25380864000.

The previous prime is 112565372629. The next prime is 112565372713. The reversal of 112565372640 is 46273565211.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 112565372592 and 112565372601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138797835 + ... + 138798645.

It is an arithmetic number, because the mean of its divisors is an integer number (1069671960).

Almost surely, 2^112565372640 is an apocalyptic number.

112565372640 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 112565372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205377016320).

112565372640 is an abundant number, since it is smaller than the sum of its proper divisors (298188660000).

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

112565372640 is a wasteful number, since it uses less digits than its factorization.

112565372640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 112565372640 in words is "one hundred twelve billion, five hundred sixty-five million, three hundred seventy-two thousand, six hundred forty".