112909164000 has 192 divisors, whose sum is σ = 373707577152. Its totient is φ = 29798400000.

The previous prime is 112909163977. The next prime is 112909164029. The reversal of 112909164000 is 461909211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115500 + ... + 1212500.

It is an arithmetic number, because the mean of its divisors is an integer number (1946393631).

Almost surely, 2^112909164000 is an apocalyptic number.

112909164000 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 112909164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186853788576).

112909164000 is an abundant number, since it is smaller than the sum of its proper divisors (260798413152).

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

112909164000 is an equidigital number, since it uses as much as digits as its factorization.

112909164000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97126 (or 97108 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 112909164000 in words is "one hundred twelve billion, nine hundred nine million, one hundred sixty-four thousand".