112591268640 has 144 divisors (see below), whose sum is σ = 385359477048. Its totient is φ = 29935116288.

The previous prime is 112591268609. The next prime is 112591268641. The reversal of 112591268640 is 46862195211.

112591268640 is a `hidden beast` number, since 1 + 12 + 591 + 2 + 6 + 8 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92326037904 + 20265230736 = 303852^2 + 142356^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (112591268641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369274 + ... + 601286.

Almost surely, 2^112591268640 is an apocalyptic number.

112591268640 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 112591268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192679738524).

112591268640 is an abundant number, since it is smaller than the sum of its proper divisors (272768208408).

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

112591268640 is a wasteful number, since it uses less digits than its factorization.

112591268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232371 (or 232360 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 112591268640 in words is "one hundred twelve billion, five hundred ninety-one million, two hundred sixty-eight thousand, six hundred forty".