112690372354560 has 8640 divisors, whose sum is σ = 585367354091520. Its totient is φ = 19783404748800.

The previous prime is 112690372354463. The next prime is 112690372354579. The reversal of 112690372354560 is 65453273096211.

112690372354560 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 9 + 0 + 3 + 7 + 23 + 54 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112690372354497 and 112690372354506.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 1266183958996 + ... + 1266183959084.

It is an arithmetic number, because the mean of its divisors is an integer number (67750851168).

Almost surely, 2^{112690372354560} is an apocalyptic number.

112690372354560 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 112690372354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292683677045760).

112690372354560 is an abundant number, since it is smaller than the sum of its proper divisors (472676981736960).

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

112690372354560 is a wasteful number, since it uses less digits than its factorization.

112690372354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 112690372354560 in words is "one hundred twelve trillion, six hundred ninety billion, three hundred seventy-two million, three hundred fifty-four thousand, five hundred sixty".