112417526041632 has 600 divisors, whose sum is σ = 398847568021056. Its totient is φ = 30428164014336.

The previous prime is 112417526041621. The next prime is 112417526041679. The reversal of 112417526041632 is 236140625714211.

It is a happy number.

112417526041632 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 1 + 7 + 5 + 2 + 6 + 0 + 4 + 1 + 632 = 666.

It is a super-2 number, since 2×112417526041632² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2364520453 + ... + 2364567995.

Almost surely, 2^{112417526041632} is an apocalyptic number.

112417526041632 is a gapful number since it is divisible by the number (12) 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 112417526041632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199423784010528).

112417526041632 is an abundant number, since it is smaller than the sum of its proper divisors (286430041979424).

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

112417526041632 is an frugal number, since it uses more digits than its factorization.

112417526041632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47648 (or 47574 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 112417526041632 in words is "one hundred twelve trillion, four hundred seventeen billion, five hundred twenty-six million, forty-one thousand, six hundred thirty-two".