112689602887680 has 2024 divisors, whose sum is σ = 499298747008992. Its totient is φ = 23776267862016.

The previous prime is 112689602887669. The next prime is 112689602887691. The reversal of 112689602887680 is 86788206986211.

112689602887680 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 8 + 9 + 602 + 8 + 8 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112689602887669) and next prime (112689602887691).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 112689602887599 and 112689602887608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 8668430991354 + ... + 8668430991366.

Almost surely, 2^{112689602887680} is an apocalyptic number.

112689602887680 is a gapful number since it is divisible by the number (10) 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 112689602887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249649373504496).

112689602887680 is an abundant number, since it is smaller than the sum of its proper divisors (386609144121312).

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

112689602887680 is an frugal number, since it uses more digits than its factorization.

112689602887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 112689602887680 in words is "one hundred twelve trillion, six hundred eighty-nine billion, six hundred two million, eight hundred eighty-seven thousand, six hundred eighty".