110820644424 has 640 divisors, whose sum is σ = 400445337600. Its totient is φ = 27898421760.

The previous prime is 110820644353. The next prime is 110820644449. The reversal of 110820644424 is 424446028011.

110820644424 is a `hidden beast` number, since 1 + 1 + 0 + 8 + 2 + 0 + 644 + 4 + 2 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73341829 + ... + 73343339.

It is an arithmetic number, because the mean of its divisors is an integer number (625695840).

Almost surely, 2^110820644424 is an apocalyptic number.

110820644424 is a gapful number since it is divisible by the number (14) 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 110820644424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200222668800).

110820644424 is an abundant number, since it is smaller than the sum of its proper divisors (289624693176).

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

110820644424 is a wasteful number, since it uses less digits than its factorization.

110820644424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 110820644424 in words is "one hundred ten billion, eight hundred twenty million, six hundred forty-four thousand, four hundred twenty-four".