112786391424 has 256 divisors, whose sum is σ = 346832640000. Its totient is φ = 31808692224.

The previous prime is 112786391357. The next prime is 112786391447. The reversal of 112786391424 is 424193687211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102253657 + ... + 102254759.

It is an arithmetic number, because the mean of its divisors is an integer number (1354815000).

Almost surely, 2^112786391424 is an apocalyptic number.

112786391424 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 112786391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173416320000).

112786391424 is an abundant number, since it is smaller than the sum of its proper divisors (234046248576).

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

112786391424 is a wasteful number, since it uses less digits than its factorization.

112786391424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1585 (or 1573 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 112786391424 in words is "one hundred twelve billion, seven hundred eighty-six million, three hundred ninety-one thousand, four hundred twenty-four".