112834528640 has 64 divisors (see below), whose sum is σ = 270194793120. Its totient is φ = 45058560000.

The previous prime is 112834528637. The next prime is 112834528643. The reversal of 112834528640 is 46825438211.

It is an interprime number because it is at equal distance from previous prime (112834528637) and next prime (112834528643).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 112834528591 and 112834528600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112834528643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237965 + ... + 531315.

Almost surely, 2^112834528640 is an apocalyptic number.

112834528640 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 112834528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135097396560).

112834528640 is an abundant number, since it is smaller than the sum of its proper divisors (157360264480).

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

112834528640 is an equidigital number, since it uses as much as digits as its factorization.

112834528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293971 (or 293959 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The spelling of 112834528640 in words is "one hundred twelve billion, eight hundred thirty-four million, five hundred twenty-eight thousand, six hundred forty".