23205364704 has 108 divisors (see below), whose sum is σ = 68525481024. Its totient is φ = 7735051584.

The previous prime is 23205364691. The next prime is 23205364771. The reversal of 23205364704 is 40746350232.

23205364704 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 5 + 3 + 647 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 154689 + ... + 265215.

Almost surely, 2^23205364704 is an apocalyptic number.

23205364704 is a gapful number since it is divisible by the number (24) 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 23205364704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34262740512).

23205364704 is an abundant number, since it is smaller than the sum of its proper divisors (45320116320).

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

23205364704 is an frugal number, since it uses more digits than its factorization.

23205364704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110561 (or 110532 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 23205364704 in words is "twenty-three billion, two hundred five million, three hundred sixty-four thousand, seven hundred four".