112349731661244 has 216 divisors, whose sum is σ = 361053484541568. Its totient is φ = 29128397014080.

The previous prime is 112349731661173. The next prime is 112349731661263. The reversal of 112349731661244 is 442166137943211.

It is a happy number.

112349731661244 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 4 + 9 + 7 + 3 + 16 + 612 + 4 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5321457 + ... + 15906519.

Almost surely, 2^{112349731661244} is an apocalyptic number.

112349731661244 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 112349731661244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180526742270784).

112349731661244 is an abundant number, since it is smaller than the sum of its proper divisors (248703752880324).

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

112349731661244 is a wasteful number, since it uses less digits than its factorization.

112349731661244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10585645 (or 10585633 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 112349731661244 in words is "one hundred twelve trillion, three hundred forty-nine billion, seven hundred thirty-one million, six hundred sixty-one thousand, two hundred forty-four".