112133261666244 has 288 divisors, whose sum is σ = 335775802070016. Its totient is φ = 28853208357120.

The previous prime is 112133261666219. The next prime is 112133261666249. The reversal of 112133261666244 is 442666162331211.

It is a super-2 number, since 2×112133261666244² (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112133261666193 and 112133261666202.

It is not an unprimeable number, because it can be changed into a prime (112133261666249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291357499 + ... + 291742109.

It is an arithmetic number, because the mean of its divisors is an integer number (1165888201632).

Almost surely, 2^{112133261666244} is an apocalyptic number.

112133261666244 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 112133261666244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167887901035008).

112133261666244 is an abundant number, since it is smaller than the sum of its proper divisors (223642540403772).

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

112133261666244 is a wasteful number, since it uses less digits than its factorization.

112133261666244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385575 (or 385566 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The spelling of 112133261666244 in words is "one hundred twelve trillion, one hundred thirty-three billion, two hundred sixty-one million, six hundred sixty-six thousand, two hundred forty-four".