112635626880 has 256 divisors, whose sum is σ = 416098114560. Its totient is φ = 25382461440.

The previous prime is 112635626879. The next prime is 112635626881. The reversal of 112635626880 is 88626536211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112635626879) and next prime (112635626881).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112635626881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 895222 + ... + 1013258.

It is an arithmetic number, because the mean of its divisors is an integer number (1625383260).

Almost surely, 2^112635626880 is an apocalyptic number.

112635626880 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 112635626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208049057280).

112635626880 is an abundant number, since it is smaller than the sum of its proper divisors (303462487680).

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

112635626880 is a wasteful number, since it uses less digits than its factorization.

112635626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118137 (or 118125 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 112635626880 in words is "one hundred twelve billion, six hundred thirty-five million, six hundred twenty-six thousand, eight hundred eighty".