112831446941640 has 640 divisors, whose sum is σ = 438467885856000. Its totient is φ = 25489680556032.

The previous prime is 112831446941599. The next prime is 112831446941641. The reversal of 112831446941640 is 46149644138211.

112831446941640 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 3 + 14 + 469 + 4 + 164 + 0 = 666.

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 (112831446941641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5508530839 + ... + 5508551321.

It is an arithmetic number, because the mean of its divisors is an integer number (685106071650).

Almost surely, 2^{112831446941640} is an apocalyptic number.

112831446941640 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 112831446941640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219233942928000).

112831446941640 is an abundant number, since it is smaller than the sum of its proper divisors (325636438914360).

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

112831446941640 is a wasteful number, since it uses less digits than its factorization.

112831446941640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23331 (or 23318 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 112831446941640 in words is "one hundred twelve trillion, eight hundred thirty-one billion, four hundred forty-six million, nine hundred forty-one thousand, six hundred forty".