112964316978240 has 1344 divisors, whose sum is σ = 489087352406016. Its totient is φ = 23293835034624.

The previous prime is 112964316978223. The next prime is 112964316978323. The reversal of 112964316978240 is 42879613469211.

112964316978240 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 6 + 4 + 316 + 9 + 78 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9152089509 + ... + 9152101851.

It is an arithmetic number, because the mean of its divisors is an integer number (363904280064).

Almost surely, 2^{112964316978240} is an apocalyptic number.

112964316978240 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 112964316978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244543676203008).

112964316978240 is an abundant number, since it is smaller than the sum of its proper divisors (376123035427776).

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

112964316978240 is a wasteful number, since it uses less digits than its factorization.

112964316978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 112964316978240 in words is "one hundred twelve trillion, nine hundred sixty-four billion, three hundred sixteen million, nine hundred seventy-eight thousand, two hundred forty".