112635887320 has 256 divisors, whose sum is σ = 293915381760. Its totient is φ = 38465280000.

The previous prime is 112635887291. The next prime is 112635887321. The reversal of 112635887320 is 23788536211.

It is a super-2 number, since 2×112635887320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112635887321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106159590 + ... + 106160650.

It is an arithmetic number, because the mean of its divisors is an integer number (1148106960).

Almost surely, 2^112635887320 is an apocalyptic number.

112635887320 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 112635887320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146957690880).

112635887320 is an abundant number, since it is smaller than the sum of its proper divisors (181279494440).

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

112635887320 is a wasteful number, since it uses less digits than its factorization.

112635887320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 112635887320 in words is "one hundred twelve billion, six hundred thirty-five million, eight hundred eighty-seven thousand, three hundred twenty".