110482976640 has 256 divisors, whose sum is σ = 371618150400. Its totient is φ = 27863531520.

The previous prime is 110482976629. The next prime is 110482976687. The reversal of 110482976640 is 46679284011.

110482976640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 110482976640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3916185 + ... + 3944295.

It is an arithmetic number, because the mean of its divisors is an integer number (1451633400).

Almost surely, 2^110482976640 is an apocalyptic number.

110482976640 is a gapful number since it is divisible by the number (10) 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 110482976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185809075200).

110482976640 is an abundant number, since it is smaller than the sum of its proper divisors (261135173760).

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

110482976640 is a wasteful number, since it uses less digits than its factorization.

110482976640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28245 (or 28233 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 110482976640 in words is "one hundred ten billion, four hundred eighty-two million, nine hundred seventy-six thousand, six hundred forty".