112354801756560 has 3840 divisors, whose sum is σ = 485191345766400. Its totient is φ = 22950066585600.

The previous prime is 112354801756511. The next prime is 112354801756609. The reversal of 112354801756560 is 65657108453211.

112354801756560 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 5 + 4 + 8 + 0 + 1 + 75 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (112354801756511) and next prime (112354801756609).

It is a junction number, because it is equal to n+sod(n) for n = 112354801756497 and 112354801756506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 470103772921 + ... + 470103773159.

It is an arithmetic number, because the mean of its divisors is an integer number (126351912960).

Almost surely, 2^{112354801756560} is an apocalyptic number.

112354801756560 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 112354801756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242595672883200).

112354801756560 is an abundant number, since it is smaller than the sum of its proper divisors (372836544009840).

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

112354801756560 is a wasteful number, since it uses less digits than its factorization.

112354801756560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 112354801756560 in words is "one hundred twelve trillion, three hundred fifty-four billion, eight hundred one million, seven hundred fifty-six thousand, five hundred sixty".