112896944640 has 480 divisors, whose sum is σ = 408953825280. Its totient is φ = 29847896064.

The previous prime is 112896944627. The next prime is 112896944647. The reversal of 112896944640 is 46449698211.

112896944640 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 96 + 94 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (112896944647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79003446 + ... + 79004874.

It is an arithmetic number, because the mean of its divisors is an integer number (851987136).

Almost surely, 2^112896944640 is an apocalyptic number.

112896944640 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 112896944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204476912640).

112896944640 is an abundant number, since it is smaller than the sum of its proper divisors (296056880640).

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

112896944640 is an equidigital number, since it uses as much as digits as its factorization.

112896944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 112896944640 in words is "one hundred twelve billion, eight hundred ninety-six million, nine hundred forty-four thousand, six hundred forty".