112349100864 has 896 divisors, whose sum is σ = 418171944960. Its totient is φ = 25679462400.

The previous prime is 112349100823. The next prime is 112349100881. The reversal of 112349100864 is 468001943211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 649416682 + ... + 649416854.

It is an arithmetic number, because the mean of its divisors is an integer number (466709760).

Almost surely, 2^112349100864 is an apocalyptic number.

112349100864 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 112349100864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209085972480).

112349100864 is an abundant number, since it is smaller than the sum of its proper divisors (305822844096).

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

112349100864 is a wasteful number, since it uses less digits than its factorization.

112349100864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 112349100864 in words is "one hundred twelve billion, three hundred forty-nine million, one hundred thousand, eight hundred sixty-four".