112799967840 has 1152 divisors, whose sum is σ = 475517952000. Its totient is φ = 24304250880.

The previous prime is 112799967781. The next prime is 112799967853. The reversal of 112799967840 is 48769997211.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 811510491 + ... + 811510629.

It is an arithmetic number, because the mean of its divisors is an integer number (412776000).

Almost surely, 2^112799967840 is an apocalyptic number.

112799967840 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 112799967840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976000).

112799967840 is an abundant number, since it is smaller than the sum of its proper divisors (362717984160).

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

112799967840 is a wasteful number, since it uses less digits than its factorization.

112799967840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 112799967840 in words is "one hundred twelve billion, seven hundred ninety-nine million, nine hundred sixty-seven thousand, eight hundred forty".