18905379264 has 280 divisors, whose sum is σ = 59103694848. Its totient is φ = 5966369280.

The previous prime is 18905379239. The next prime is 18905379271. The reversal of 18905379264 is 46297350981.

18905379264 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 5 + 379 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18905379264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7551837 + ... + 7554339.

It is a 1-persistent number, because it is pandigital, but 2⋅18905379264 = 37810758528 is not.

Almost surely, 2^18905379264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18905379264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29551847424).

18905379264 is an abundant number, since it is smaller than the sum of its proper divisors (40198315584).

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

18905379264 is a wasteful number, since it uses less digits than its factorization.

18905379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 18905379264 in words is "eighteen billion, nine hundred five million, three hundred seventy-nine thousand, two hundred sixty-four".