112390649280 has 1008 divisors, whose sum is σ = 502441037280. Its totient is φ = 23702740992.

The previous prime is 112390649279. The next prime is 112390649353. The reversal of 112390649280 is 82946093211.

112390649280 is a `hidden beast` number, since 112 + 390 + 64 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 49531986 + ... + 49534254.

It is an arithmetic number, because the mean of its divisors is an integer number (498453410).

Almost surely, 2^112390649280 is an apocalyptic number.

112390649280 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 112390649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251220518640).

112390649280 is an abundant number, since it is smaller than the sum of its proper divisors (390050388000).

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

112390649280 is a wasteful number, since it uses less digits than its factorization.

112390649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2328 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 112390649280 in words is "one hundred twelve billion, three hundred ninety million, six hundred forty-nine thousand, two hundred eighty".