112966916496 has 160 divisors (see below), whose sum is σ = 351516072960. Its totient is φ = 30539109888.

The previous prime is 112966916479. The next prime is 112966916507. The reversal of 112966916496 is 694619669211.

112966916496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112966916496² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5268870 + ... + 5290266.

It is an arithmetic number, because the mean of its divisors is an integer number (2196975456).

Almost surely, 2^112966916496 is an apocalyptic number.

112966916496 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 112966916496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175758036480).

112966916496 is an abundant number, since it is smaller than the sum of its proper divisors (238549156464).

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

112966916496 is a wasteful number, since it uses less digits than its factorization.

112966916496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22261 (or 22255 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 60.

The spelling of 112966916496 in words is "one hundred twelve billion, nine hundred sixty-six million, nine hundred sixteen thousand, four hundred ninety-six".