9004221864 has 48 divisors (see below), whose sum is σ = 26603385120. Its totient is φ = 2728551840.

The previous prime is 9004221841. The next prime is 9004221871. The reversal of 9004221864 is 4681224009.

It is a super-2 number, since 2×9004221864² (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5683692 + ... + 5685275.

It is an arithmetic number, because the mean of its divisors is an integer number (554237190).

Almost surely, 2^9004221864 is an apocalyptic number.

It is an amenable number.

9004221864 is an abundant number, since it is smaller than the sum of its proper divisors (17599163256).

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

9004221864 is a wasteful number, since it uses less digits than its factorization.

9004221864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368990 (or 11368983 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9004221864 is about 94890.5783731978. The cubic root of 9004221864 is about 2080.4090252072.

The spelling of 9004221864 in words is "nine billion, four million, two hundred twenty-one thousand, eight hundred sixty-four".