112541100959088 has 240 divisors, whose sum is σ = 333746931641760. Its totient is φ = 35302691635200.

The previous prime is 112541100959057. The next prime is 112541100959093. The reversal of 112541100959088 is 880959001145211.

112541100959088 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 41 + 1 + 0 + 0 + 9 + 590 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436156320 + ... + 436414272.

It is an arithmetic number, because the mean of its divisors is an integer number (1390612215174).

Almost surely, 2^{112541100959088} is an apocalyptic number.

112541100959088 is a gapful number since it is divisible by the number (18) 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 112541100959088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166873465820880).

112541100959088 is an abundant number, since it is smaller than the sum of its proper divisors (221205830682672).

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

112541100959088 is a wasteful number, since it uses less digits than its factorization.

112541100959088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259048 (or 259039 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 54.

The spelling of 112541100959088 in words is "one hundred twelve trillion, five hundred forty-one billion, one hundred million, nine hundred fifty-nine thousand, eighty-eight".