112986524160 has 480 divisors, whose sum is σ = 419856877440. Its totient is φ = 29086138368.

The previous prime is 112986524149. The next prime is 112986524201. The reversal of 112986524160 is 61425689211.

112986524160 is a `hidden beast` number, since 1 + 1 + 298 + 65 + 241 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18037189 + ... + 18043451.

It is an arithmetic number, because the mean of its divisors is an integer number (874701828).

Almost surely, 2^112986524160 is an apocalyptic number.

112986524160 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 112986524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209928438720).

112986524160 is an abundant number, since it is smaller than the sum of its proper divisors (306870353280).

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

112986524160 is an frugal number, since it uses more digits than its factorization.

112986524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6330 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 112986524160 in words is "one hundred twelve billion, nine hundred eighty-six million, five hundred twenty-four thousand, one hundred sixty".