8901821222464 has 63 divisors (see below), whose sum is σ = 17724862067731. Its totient is φ = 4435765898240.

The previous prime is 8901821222443. The next prime is 8901821222491. The reversal of 8901821222464 is 4642221281098.

The square root of 8901821222464 is 2983592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 538157222464 + 8363664000000 = 733592^2 + 2892000^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 11003486892 + ... + 11003487700.

Almost surely, 2^{8901821222464} is an apocalyptic number.

8901821222464 is the 2983592-nd square number.

It is an amenable number.

8901821222464 is a deficient number, since it is larger than the sum of its proper divisors (8823040845267).

8901821222464 is an frugal number, since it uses more digits than its factorization.

8901821222464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

Multiplying 8901821222464 by its sum of digits (49), we get a square (436189239900736 = 20885144²).

The spelling of 8901821222464 in words is "eight trillion, nine hundred one billion, eight hundred twenty-one million, two hundred twenty-two thousand, four hundred sixty-four".