112495920768 has 1024 divisors, whose sum is σ = 445152153600. Its totient is φ = 27411333120.

The previous prime is 112495920707. The next prime is 112495920787. The reversal of 112495920768 is 867029594211.

It is a happy number.

112495920768 is a `hidden beast` number, since 1 + 1 + 2 + 49 + 592 + 0 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 366436071 + ... + 366436377.

It is an arithmetic number, because the mean of its divisors is an integer number (434718900).

Almost surely, 2^112495920768 is an apocalyptic number.

112495920768 is a gapful number since it is divisible by the number (18) 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 112495920768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222576076800).

112495920768 is an abundant number, since it is smaller than the sum of its proper divisors (332656232832).

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

112495920768 is an equidigital number, since it uses as much as digits as its factorization.

112495920768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 112495920768 in words is "one hundred twelve billion, four hundred ninety-five million, nine hundred twenty thousand, seven hundred sixty-eight".