112844201057280 has 4752 divisors, whose sum is σ = 536447104128000. Its totient is φ = 21679995617280.

The previous prime is 112844201057267. The next prime is 112844201057309. The reversal of 112844201057280 is 82750102448211.

112844201057280 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 44 + 20 + 10 + 572 + 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 431 ways as a sum of consecutive naturals, for example, 567056286621 + ... + 567056286819.

Almost surely, 2^{112844201057280} is an apocalyptic number.

112844201057280 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 112844201057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268223552064000).

112844201057280 is an abundant number, since it is smaller than the sum of its proper divisors (423602903070720).

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

112844201057280 is a wasteful number, since it uses less digits than its factorization.

112844201057280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 112844201057280 in words is "one hundred twelve trillion, eight hundred forty-four billion, two hundred one million, fifty-seven thousand, two hundred eighty".