111275803753344 has 768 divisors, whose sum is σ = 347853835929600. Its totient is φ = 34028273664000.

The previous prime is 111275803753343. The next prime is 111275803753399. The reversal of 111275803753344 is 443357308572111.

111275803753344 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 7 + 580 + 3 + 7 + 53 + 3 + 4 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111275803753343) 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, 112286380689 + ... + 112286381679.

It is an arithmetic number, because the mean of its divisors is an integer number (452934682200).

Almost surely, 2^{111275803753344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111275803753344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173926917964800).

111275803753344 is an abundant number, since it is smaller than the sum of its proper divisors (236578032176256).

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

111275803753344 is a wasteful number, since it uses less digits than its factorization.

111275803753344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 111275803753344 in words is "one hundred eleven trillion, two hundred seventy-five billion, eight hundred three million, seven hundred fifty-three thousand, three hundred forty-four".