21822804864 has 320 divisors, whose sum is σ = 74644416000. Its totient is φ = 6199649280.

The previous prime is 21822804841. The next prime is 21822804929. The reversal of 21822804864 is 46840822812.

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, 14441869 + ... + 14443379.

It is an arithmetic number, because the mean of its divisors is an integer number (233263800).

Almost surely, 2^21822804864 is an apocalyptic number.

21822804864 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 21822804864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37322208000).

21822804864 is an abundant number, since it is smaller than the sum of its proper divisors (52821611136).

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

21822804864 is a wasteful number, since it uses less digits than its factorization.

21822804864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 21822804864 in words is "twenty-one billion, eight hundred twenty-two million, eight hundred four thousand, eight hundred sixty-four".