112034051331345 has 192 divisors, whose sum is σ = 232035919315200. Its totient is φ = 49285520824320.

The previous prime is 112034051331313. The next prime is 112034051331347. The reversal of 112034051331345 is 543133150430211.

112034051331345 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 3 + 4 + 0 + 513 + 3 + 134 + 5 = 666.

It is not a de Polignac number, because 112034051331345 - 2⁵ = 112034051331313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112034051331347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6255731251 + ... + 6255749159.

It is an arithmetic number, because the mean of its divisors is an integer number (1208520413100).

Almost surely, 2^{112034051331345} is an apocalyptic number.

112034051331345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

112034051331345 is an abundant number, since it is smaller than the sum of its proper divisors (120001867983855).

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

112034051331345 is a wasteful number, since it uses less digits than its factorization.

112034051331345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34480 (or 34477 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 112034051331345 in words is "one hundred twelve trillion, thirty-four billion, fifty-one million, three hundred thirty-one thousand, three hundred forty-five".