112790687127615 has 768 divisors, whose sum is σ = 249533706240000. Its totient is φ = 45989220814848.

The previous prime is 112790687127589. The next prime is 112790687127739. The reversal of 112790687127615 is 516721786097211.

112790687127615 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 9 + 0 + 6 + 8 + 7 + 1 + 2 + 7 + 615 = 666.

It is a Cunningham number, because it is equal to 10620296²-1.

It is not a de Polignac number, because 112790687127615 - 2⁶ = 112790687127551 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 767 ways as a sum of consecutive naturals, for example, 314180186806 + ... + 314180187164.

It is an arithmetic number, because the mean of its divisors is an integer number (324913680000).

Almost surely, 2^{112790687127615} is an apocalyptic number.

112790687127615 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112790687127615 is an abundant number, since it is smaller than the sum of its proper divisors (136743019112385).

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

112790687127615 is a wasteful number, since it uses less digits than its factorization.

112790687127615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 17781120, while the sum is 63.

The spelling of 112790687127615 in words is "one hundred twelve trillion, seven hundred ninety billion, six hundred eighty-seven million, one hundred twenty-seven thousand, six hundred fifteen".