112654080000 has 1440 divisors, whose sum is σ = 510892462080. Its totient is φ = 23224320000.

The previous prime is 112654079977. The next prime is 112654080001. The reversal of 112654080000 is 80456211.

112654080000 is a `hidden beast` number, since 1 + 1 + 2 + 654 + 0 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112654080001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 887039937 + ... + 887040063.

It is an arithmetic number, because the mean of its divisors is an integer number (354786432).

Almost surely, 2^112654080000 is an apocalyptic number.

112654080000 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 112654080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255446231040).

112654080000 is an abundant number, since it is smaller than the sum of its proper divisors (398238382080).

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

112654080000 is a wasteful number, since it uses less digits than its factorization.

112654080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 112654080000 in words is "one hundred twelve billion, six hundred fifty-four million, eighty thousand".