110949232128 has 320 divisors, whose sum is σ = 350033215488. Its totient is φ = 30559887360.

The previous prime is 110949232109. The next prime is 110949232129. The reversal of 110949232128 is 821232949011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 110949232128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110949232129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122325051 + ... + 122325957.

Almost surely, 2^110949232128 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 110949232128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175016607744).

110949232128 is an abundant number, since it is smaller than the sum of its proper divisors (239083983360).

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

110949232128 is an equidigital number, since it uses as much as digits as its factorization.

110949232128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 110949232128 in words is "one hundred ten billion, nine hundred forty-nine million, two hundred thirty-two thousand, one hundred twenty-eight".