112963878720 has 1344 divisors, whose sum is σ = 512368312320. Its totient is φ = 23166259200.

The previous prime is 112963878623. The next prime is 112963878739. The reversal of 112963878720 is 27878369211.

It is a happy number.

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 (54).

It is a congruent number.

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, 591433825 + ... + 591434015.

Almost surely, 2^112963878720 is an apocalyptic number.

112963878720 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 112963878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256184156160).

112963878720 is an abundant number, since it is smaller than the sum of its proper divisors (399404433600).

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

112963878720 is a wasteful number, since it uses less digits than its factorization.

112963878720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 112963878720 in words is "one hundred twelve billion, nine hundred sixty-three million, eight hundred seventy-eight thousand, seven hundred twenty".