112925744064 has 168 divisors, whose sum is σ = 370396117728. Its totient is φ = 32223098880.

The previous prime is 112925744053. The next prime is 112925744083. The reversal of 112925744064 is 460447529211.

112925744064 is a `hidden beast` number, since 1 + 12 + 9 + 2 + 574 + 4 + 0 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3195934 + ... + 3231074.

It is an arithmetic number, because the mean of its divisors is an integer number (2204738796).

Almost surely, 2^112925744064 is an apocalyptic number.

112925744064 is a gapful number since it is divisible by the number (14) 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 112925744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185198058864).

112925744064 is an abundant number, since it is smaller than the sum of its proper divisors (257470373664).

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

112925744064 is a wasteful number, since it uses less digits than its factorization.

112925744064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35963 (or 35950 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 112925744064 in words is "one hundred twelve billion, nine hundred twenty-five million, seven hundred forty-four thousand, sixty-four".