110023849728 has 216 divisors, whose sum is σ = 342005554800. Its totient is φ = 33816084480.

The previous prime is 110023849723. The next prime is 110023849763. The reversal of 110023849728 is 827948320011.

It is a happy number.

110023849728 is a `hidden beast` number, since 1 + 100 + 2 + 38 + 497 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110023849723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40763323 + ... + 40766021.

It is an arithmetic number, because the mean of its divisors is an integer number (1583359050).

Almost surely, 2^110023849728 is an apocalyptic number.

110023849728 is a gapful number since it is divisible by the number (18) 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 110023849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171002777400).

110023849728 is an abundant number, since it is smaller than the sum of its proper divisors (231981705072).

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

110023849728 is a wasteful number, since it uses less digits than its factorization.

110023849728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 110023849728 in words is "one hundred ten billion, twenty-three million, eight hundred forty-nine thousand, seven hundred twenty-eight".