112024432213344 has 576 divisors, whose sum is σ = 368452820736000. Its totient is φ = 31625504096256.

The previous prime is 112024432213313. The next prime is 112024432213361. The reversal of 112024432213344 is 443312234420211.

112024432213344 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 2 + 4 + 432 + 213 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112024432213299 and 112024432213308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41753421027 + ... + 41753423709.

It is an arithmetic number, because the mean of its divisors is an integer number (639675036000).

Almost surely, 2^{112024432213344} is an apocalyptic number.

112024432213344 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 112024432213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184226410368000).

112024432213344 is an abundant number, since it is smaller than the sum of its proper divisors (256428388522656).

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

112024432213344 is a wasteful number, since it uses less digits than its factorization.

112024432213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 112024432213344 its reverse (443312234420211), we get a palindrome (555336666633555).

The spelling of 112024432213344 in words is "one hundred twelve trillion, twenty-four billion, four hundred thirty-two million, two hundred thirteen thousand, three hundred forty-four".