112439955849984 has 1728 divisors, whose sum is σ = 408893031106560. Its totient is φ = 29012935311360.

The previous prime is 112439955849967. The next prime is 112439955850003. The reversal of 112439955849984 is 489948559934211.

It is a happy number.

112439955849984 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 39 + 95 + 5 + 8 + 499 + 8 + 4 = 666.

It is a super-2 number, since 2×112439955849984² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102872786142 + ... + 102872787234.

It is an arithmetic number, because the mean of its divisors is an integer number (236627911520).

Almost surely, 2^{112439955849984} is an apocalyptic number.

112439955849984 is a gapful number since it is divisible by the number (14) 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 112439955849984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204446515553280).

112439955849984 is an abundant number, since it is smaller than the sum of its proper divisors (296453075256576).

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

112439955849984 is a wasteful number, since it uses less digits than its factorization.

112439955849984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1361 counting only the distinct ones).

The product of its digits is 4031078400, while the sum is 81.

The spelling of 112439955849984 in words is "one hundred twelve trillion, four hundred thirty-nine billion, nine hundred fifty-five million, eight hundred forty-nine thousand, nine hundred eighty-four".