112009553336016 has 320 divisors, whose sum is σ = 399254331801600. Its totient is φ = 29340362764800.

The previous prime is 112009553335991. The next prime is 112009553336101. The reversal of 112009553336016 is 610633355900211.

112009553336016 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 0 + 9 + 5 + 5 + 3 + 33 + 601 + 6 = 666.

It is a super-2 number, since 2×112009553336016² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29662155 + ... + 33224426.

It is an arithmetic number, because the mean of its divisors is an integer number (1247669786880).

Almost surely, 2^{112009553336016} is an apocalyptic number.

112009553336016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112009553336016 is an abundant number, since it is smaller than the sum of its proper divisors (287244778465584).

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

112009553336016 is a wasteful number, since it uses less digits than its factorization.

112009553336016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62886655 (or 62886643 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 112009553336016 in words is "one hundred twelve trillion, nine billion, five hundred fifty-three million, three hundred thirty-six thousand, sixteen".