110988002713344 has 288 divisors, whose sum is σ = 300822723936000. Its totient is φ = 36321876541440.

The previous prime is 110988002713339. The next prime is 110988002713397. The reversal of 110988002713344 is 443317200889011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6788664082 + ... + 6788680430.

It is an arithmetic number, because the mean of its divisors is an integer number (1044523347000).

Almost surely, 2^{110988002713344} 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 110988002713344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150411361968000).

110988002713344 is an abundant number, since it is smaller than the sum of its proper divisors (189834721222656).

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

110988002713344 is a wasteful number, since it uses less digits than its factorization.

110988002713344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111 (or 17097 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 110988002713344 in words is "one hundred ten trillion, nine hundred eighty-eight billion, two million, seven hundred thirteen thousand, three hundred forty-four".