112966926336 has 384 divisors, whose sum is σ = 360683668800. Its totient is φ = 33785118720.

The previous prime is 112966926329. The next prime is 112966926361. The reversal of 112966926336 is 633629669211.

112966926336 is a `hidden beast` number, since 1 + 1 + 296 + 69 + 263 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314670925 + ... + 314671283.

Almost surely, 2^112966926336 is an apocalyptic number.

112966926336 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 112966926336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180341834400).

112966926336 is an abundant number, since it is smaller than the sum of its proper divisors (247716742464).

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

112966926336 is an equidigital number, since it uses as much as digits as its factorization.

112966926336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 472 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 54.

The spelling of 112966926336 in words is "one hundred twelve billion, nine hundred sixty-six million, nine hundred twenty-six thousand, three hundred thirty-six".