112898008800 has 432 divisors, whose sum is σ = 405708095520. Its totient is φ = 29535744000.

The previous prime is 112898008753. The next prime is 112898008837. The reversal of 112898008800 is 8800898211.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137512390 + ... + 137513210.

It is an arithmetic number, because the mean of its divisors is an integer number (939139110).

Almost surely, 2^112898008800 is an apocalyptic number.

112898008800 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 112898008800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202854047760).

112898008800 is an abundant number, since it is smaller than the sum of its proper divisors (292810086720).

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

112898008800 is a wasteful number, since it uses less digits than its factorization.

112898008800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 112898008800 in words is "one hundred twelve billion, eight hundred ninety-eight million, eight thousand, eight hundred".