112074399360 has 1536 divisors, whose sum is σ = 513257472000. Its totient is φ = 23166259200.

The previous prime is 112074399341. The next prime is 112074399389. The reversal of 112074399360 is 63993470211.

112074399360 is a `hidden beast` number, since 1 + 1 + 207 + 439 + 9 + 3 + 6 + 0 = 666.

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

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, 586776865 + ... + 586777055.

It is an arithmetic number, because the mean of its divisors is an integer number (334152000).

Almost surely, 2^112074399360 is an apocalyptic number.

112074399360 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 112074399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256628736000).

112074399360 is an abundant number, since it is smaller than the sum of its proper divisors (401183072640).

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

112074399360 is an equidigital number, since it uses as much as digits as its factorization.

112074399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 112074399360 in words is "one hundred twelve billion, seventy-four million, three hundred ninety-nine thousand, three hundred sixty".