112385446272 has 256 divisors, whose sum is σ = 380894112000. Its totient is φ = 32263557120.

The previous prime is 112385446267. The next prime is 112385446297. The reversal of 112385446272 is 272644583211.

112385446272 is a `hidden beast` number, since 1 + 1 + 2 + 38 + 544 + 6 + 2 + 72 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644508 + ... + 800100.

It is an arithmetic number, because the mean of its divisors is an integer number (1487867625).

Almost surely, 2^112385446272 is an apocalyptic number.

112385446272 is a gapful number since it is divisible by the number (12) 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 112385446272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190447056000).

112385446272 is an abundant number, since it is smaller than the sum of its proper divisors (268508665728).

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

112385446272 is a wasteful number, since it uses less digits than its factorization.

112385446272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155646 (or 155628 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 112385446272 in words is "one hundred twelve billion, three hundred eighty-five million, four hundred forty-six thousand, two hundred seventy-two".