112964450665290 has 256 divisors, whose sum is σ = 338563999825920. Its totient is φ = 23564820464640.

The previous prime is 112964450665279. The next prime is 112964450665331. The reversal of 112964450665290 is 92566054469211.

It is a happy number.

It is a super-2 number, since 2×112964450665290² (a number of 29 digits) contains 22 as substring.

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, 1160292 + ... + 15075648.

It is an arithmetic number, because the mean of its divisors is an integer number (1322515624320).

Almost surely, 2^{112964450665290} is an apocalyptic number.

112964450665290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112964450665290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169281999912960).

112964450665290 is an abundant number, since it is smaller than the sum of its proper divisors (225599549160630).

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

112964450665290 is a wasteful number, since it uses less digits than its factorization.

112964450665290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13915477.

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 112964450665290 in words is "one hundred twelve trillion, nine hundred sixty-four billion, four hundred fifty million, six hundred sixty-five thousand, two hundred ninety".