112617258534144 has 3456 divisors, whose sum is σ = 455980621824000. Its totient is φ = 26441724395520.

The previous prime is 112617258534119. The next prime is 112617258534161. The reversal of 112617258534144 is 441435852716211.

112617258534144 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 1 + 7 + 258 + 5 + 341 + 44 = 666.

It is a super-2 number, since 2×112617258534144² (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 383 ways as a sum of consecutive naturals, for example, 223891169797 + ... + 223891170299.

Almost surely, 2^{112617258534144} is an apocalyptic number.

112617258534144 is a gapful number since it is divisible by the number (14) 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 112617258534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227990310912000).

112617258534144 is an abundant number, since it is smaller than the sum of its proper divisors (343363363289856).

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

112617258534144 is a wasteful number, since it uses less digits than its factorization.

112617258534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 615 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The spelling of 112617258534144 in words is "one hundred twelve trillion, six hundred seventeen billion, two hundred fifty-eight million, five hundred thirty-four thousand, one hundred forty-four".