112263887620992 has 256 divisors, whose sum is σ = 312736969440000. Its totient is φ = 35648876789760.

The previous prime is 112263887620957. The next prime is 112263887621009. The reversal of 112263887620992 is 299026788362211.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 137999943 + ... + 138811065.

It is an arithmetic number, because the mean of its divisors is an integer number (1221628786875).

Almost surely, 2^{112263887620992} is an apocalyptic number.

112263887620992 is a gapful number since it is divisible by the number (12) 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 112263887620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156368484720000).

112263887620992 is an abundant number, since it is smaller than the sum of its proper divisors (200473081819008).

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

112263887620992 is a wasteful number, since it uses less digits than its factorization.

112263887620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811389 (or 811377 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 112263887620992 in words is "one hundred twelve trillion, two hundred sixty-three billion, eight hundred eighty-seven million, six hundred twenty thousand, nine hundred ninety-two".