112958662752 has 288 divisors, whose sum is σ = 363097582848. Its totient is φ = 34335207936.

The previous prime is 112958662711. The next prime is 112958662771. The reversal of 112958662752 is 257266859211.

112958662752 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 5 + 8 + 6 + 627 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8383573 + ... + 8397035.

It is an arithmetic number, because the mean of its divisors is an integer number (1260755496).

Almost surely, 2^112958662752 is an apocalyptic number.

112958662752 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 112958662752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181548791424).

112958662752 is an abundant number, since it is smaller than the sum of its proper divisors (250138920096).

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

112958662752 is a wasteful number, since it uses less digits than its factorization.

112958662752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13584 (or 13564 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 112958662752 in words is "one hundred twelve billion, nine hundred fifty-eight million, six hundred sixty-two thousand, seven hundred fifty-two".