112815737280 has 560 divisors, whose sum is σ = 426592837440. Its totient is φ = 28202729472.

The previous prime is 112815737269. The next prime is 112815737317. The reversal of 112815737280 is 82737518211.

112815737280 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 1 + 573 + 72 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 221641666 + ... + 221642174.

It is an arithmetic number, because the mean of its divisors is an integer number (761772924).

Almost surely, 2^112815737280 is an apocalyptic number.

112815737280 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 112815737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213296418720).

112815737280 is an abundant number, since it is smaller than the sum of its proper divisors (313777100160).

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

112815737280 is a wasteful number, since it uses less digits than its factorization.

112815737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 112815737280 in words is "one hundred twelve billion, eight hundred fifteen million, seven hundred thirty-seven thousand, two hundred eighty".