112685895900 has 180 divisors, whose sum is σ = 377067324480. Its totient is φ = 29080166400.

The previous prime is 112685895893. The next prime is 112685895911. The reversal of 112685895900 is 9598586211.

112685895900 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 8 + 589 + 59 + 0 + 0 = 666.

112685895900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×112685895900² (a number of 23 digits) contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 26716 + ... + 475484.

Almost surely, 2^112685895900 is an apocalyptic number.

112685895900 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 112685895900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188533662240).

112685895900 is an abundant number, since it is smaller than the sum of its proper divisors (264381428580).

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

112685895900 is a wasteful number, since it uses less digits than its factorization.

112685895900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448826 (or 448810 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 54.

The spelling of 112685895900 in words is "one hundred twelve billion, six hundred eighty-five million, eight hundred ninety-five thousand, nine hundred".