112645138752 has 112 divisors (see below), whose sum is σ = 331317112320. Its totient is φ = 37530095616.

The previous prime is 112645138751. The next prime is 112645138811. The reversal of 112645138752 is 257831546211.

112645138752 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 4 + 513 + 87 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112645138698 and 112645138707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112645138751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3798928 + ... + 3828464.

Almost surely, 2^112645138752 is an apocalyptic number.

112645138752 is a gapful number since it is divisible by the number (12) 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 112645138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165658556160).

112645138752 is an abundant number, since it is smaller than the sum of its proper divisors (218671973568).

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

112645138752 is a wasteful number, since it uses less digits than its factorization.

112645138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31765 (or 31749 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 112645138752 in words is "one hundred twelve billion, six hundred forty-five million, one hundred thirty-eight thousand, seven hundred fifty-two".