110813874031392 has 768 divisors, whose sum is σ = 370826503004160. Its totient is φ = 28274736365568.

The previous prime is 110813874031391. The next prime is 110813874031411. The reversal of 110813874031392 is 293130478318011.

It is not an unprimeable number, because it can be changed into a prime (110813874031391) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2703218448 + ... + 2703259440.

It is an arithmetic number, because the mean of its divisors is an integer number (482847009120).

Almost surely, 2^{110813874031392} is an apocalyptic number.

110813874031392 is a gapful number since it is divisible by the number (12) 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 110813874031392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185413251502080).

110813874031392 is an abundant number, since it is smaller than the sum of its proper divisors (260012628972768).

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

110813874031392 is a wasteful number, since it uses less digits than its factorization.

110813874031392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41265 (or 41257 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 110813874031392 in words is "one hundred ten trillion, eight hundred thirteen billion, eight hundred seventy-four million, thirty-one thousand, three hundred ninety-two".