112362880468608 has 3072 divisors, whose sum is σ = 440826577551360. Its totient is φ = 27883641139200.

The previous prime is 112362880468607. The next prime is 112362880468609. The reversal of 112362880468608 is 806864088263211.

112362880468608 is a `hidden beast` number, since 1 + 1 + 2 + 36 + 2 + 8 + 80 + 468 + 60 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (112362880468607) and next prime (112362880468609).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (112362880468607) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 884747090241 + ... + 884747090367.

It is an arithmetic number, because the mean of its divisors is an integer number (143498234880).

Almost surely, 2^{112362880468608} is an apocalyptic number.

112362880468608 is a gapful number since it is divisible by the number (18) 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 112362880468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220413288775680).

112362880468608 is an abundant number, since it is smaller than the sum of its proper divisors (328463697082752).

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

112362880468608 is an equidigital number, since it uses as much as digits as its factorization.

112362880468608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 112362880468608 in words is "one hundred twelve trillion, three hundred sixty-two billion, eight hundred eighty million, four hundred sixty-eight thousand, six hundred eight".