110644013104128 has 704 divisors, whose sum is σ = 385401378124800. Its totient is φ = 30694561873920.

The previous prime is 110644013104127. The next prime is 110644013104151. The reversal of 110644013104128 is 821401310446011.

110644013104128 is a `hidden beast` number, since 1 + 1 + 0 + 644 + 0 + 1 + 3 + 1 + 0 + 4 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110644013104092 and 110644013104101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110644013104127) 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 63 ways as a sum of consecutive naturals, for example, 3515952778 + ... + 3515984246.

Almost surely, 2^{110644013104128} is an apocalyptic number.

110644013104128 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 110644013104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192700689062400).

110644013104128 is an abundant number, since it is smaller than the sum of its proper divisors (274757365020672).

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

110644013104128 is a wasteful number, since it uses less digits than its factorization.

110644013104128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32033 (or 32009 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 110644013104128 in words is "one hundred ten trillion, six hundred forty-four billion, thirteen million, one hundred four thousand, one hundred twenty-eight".