112534880640 has 1024 divisors, whose sum is σ = 463247769600. Its totient is φ = 22600581120.

The previous prime is 112534880593. The next prime is 112534880651. The reversal of 112534880640 is 46088435211.

It is a happy number.

It is a super-3 number, since 3×112534880640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 112534880592 and 112534880601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 427889149 + ... + 427889411.

It is an arithmetic number, because the mean of its divisors is an integer number (452390400).

Almost surely, 2^112534880640 is an apocalyptic number.

112534880640 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 112534880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231623884800).

112534880640 is an abundant number, since it is smaller than the sum of its proper divisors (350712888960).

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

112534880640 is a wasteful number, since it uses less digits than its factorization.

112534880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 112534880640 in words is "one hundred twelve billion, five hundred thirty-four million, eight hundred eighty thousand, six hundred forty".