112649201280 has 1536 divisors, whose sum is σ = 526088908800. Its totient is φ = 22335160320.

The previous prime is 112649201261. The next prime is 112649201383. The reversal of 112649201280 is 82102946211.

112649201280 is a `hidden beast` number, since 1 + 1 + 2 + 649 + 2 + 0 + 1 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275425716 + ... + 275426124.

It is an arithmetic number, because the mean of its divisors is an integer number (342505800).

Almost surely, 2^112649201280 is an apocalyptic number.

112649201280 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 112649201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263044454400).

112649201280 is an abundant number, since it is smaller than the sum of its proper divisors (413439707520).

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

112649201280 is a wasteful number, since it uses less digits than its factorization.

112649201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 112649201280 in words is "one hundred twelve billion, six hundred forty-nine million, two hundred one thousand, two hundred eighty".