112361873578272 has 144 divisors (see below), whose sum is σ = 330576777531000. Its totient is φ = 36159219597312.

The previous prime is 112361873578237. The next prime is 112361873578277. The reversal of 112361873578272 is 272875378163211.

112361873578272 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 6 + 1 + 8 + 7 + 357 + 8 + 272 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 70442516144016 + 41919357434256 = 8393004^2 + 6474516^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (112361873578277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94026054 + ... + 95213562.

Almost surely, 2^{112361873578272} is an apocalyptic number.

112361873578272 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 112361873578272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165288388765500).

112361873578272 is an abundant number, since it is smaller than the sum of its proper divisors (218214903952728).

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

112361873578272 is a wasteful number, since it uses less digits than its factorization.

112361873578272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198883 (or 1198872 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 112361873578272 in words is "one hundred twelve trillion, three hundred sixty-one billion, eight hundred seventy-three million, five hundred seventy-eight thousand, two hundred seventy-two".