112746288144 has 240 divisors, whose sum is σ = 356807341440. Its totient is φ = 30528368640.

The previous prime is 112746288113. The next prime is 112746288157. The reversal of 112746288144 is 441882647211.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112746288093 and 112746288102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5886904 + ... + 5906024.

It is an arithmetic number, because the mean of its divisors is an integer number (1486697256).

Almost surely, 2^112746288144 is an apocalyptic number.

112746288144 is a gapful number since it is divisible by the number (14) 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 112746288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178403670720).

112746288144 is an abundant number, since it is smaller than the sum of its proper divisors (244061053296).

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

112746288144 is a wasteful number, since it uses less digits than its factorization.

112746288144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19278 (or 19265 counting only the distinct ones).

The product of its digits is 688128, while the sum is 48.

The spelling of 112746288144 in words is "one hundred twelve billion, seven hundred forty-six million, two hundred eighty-eight thousand, one hundred forty-four".