112379545152 has 672 divisors, whose sum is σ = 394084454400. Its totient is φ = 31093051392.

The previous prime is 112379545151. The next prime is 112379545153. The reversal of 112379545152 is 251545973211.

112379545152 is a `hidden beast` number, since 1 + 1 + 23 + 79 + 545 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (112379545151) and next prime (112379545153).

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 112379545098 and 112379545107.

It is not an unprimeable number, because it can be changed into a prime (112379545151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 627818599 + ... + 627818777.

It is an arithmetic number, because the mean of its divisors is an integer number (586435200).

Almost surely, 2^112379545152 is an apocalyptic number.

112379545152 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 112379545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197042227200).

112379545152 is an abundant number, since it is smaller than the sum of its proper divisors (281704909248).

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

112379545152 is an equidigital number, since it uses as much as digits as its factorization.

112379545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 343 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 112379545152 in words is "one hundred twelve billion, three hundred seventy-nine million, five hundred forty-five thousand, one hundred fifty-two".