112795877376 has 640 divisors, whose sum is σ = 415644989760. Its totient is φ = 29684662272.

The previous prime is 112795877321. The next prime is 112795877393. The reversal of 112795877376 is 673778597211.

112795877376 is a `hidden beast` number, since 1 + 12 + 7 + 9 + 587 + 7 + 37 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241532695 + ... + 241533161.

Almost surely, 2^112795877376 is an apocalyptic number.

112795877376 is a gapful number since it is divisible by the number (16) 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 112795877376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207822494880).

112795877376 is an abundant number, since it is smaller than the sum of its proper divisors (302849112384).

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

112795877376 is an frugal number, since it uses more digits than its factorization.

112795877376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 492 counting only the distinct ones).

The product of its digits is 31116960, while the sum is 63.

The spelling of 112795877376 in words is "one hundred twelve billion, seven hundred ninety-five million, eight hundred seventy-seven thousand, three hundred seventy-six".