112633730640 has 120 divisors (see below), whose sum is σ = 379384867368. Its totient is φ = 29946470400.

The previous prime is 112633730633. The next prime is 112633730647. The reversal of 112633730640 is 46037336211.

112633730640 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 3 + 7 + 3 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (112633730633) and next prime (112633730647).

It can be written as a sum of positive squares in 4 ways, for example, as 23072394816 + 89561335824 = 151896^2 + 299268^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112633730595 and 112633730604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112633730647) 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, 10540 + ... + 474740.

Almost surely, 2^112633730640 is an apocalyptic number.

112633730640 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 112633730640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189692433684).

112633730640 is an abundant number, since it is smaller than the sum of its proper divisors (266751136728).

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

112633730640 is a wasteful number, since it uses less digits than its factorization.

112633730640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464557 (or 464548 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 112633730640 in words is "one hundred twelve billion, six hundred thirty-three million, seven hundred thirty thousand, six hundred forty".