8435492889664 has 63 divisors (see below), whose sum is σ = 17139547616823. Its totient is φ = 4119171380352.

The previous prime is 8435492889647. The next prime is 8435492889667. The reversal of 8435492889664 is 4669882945348.

The square root of 8435492889664 is 2904392.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8435492889667) by changing a digit.

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, 999106627 + ... + 999115069.

Almost surely, 2^{8435492889664} is an apocalyptic number.

8435492889664 is the 2904392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8435492889664

8435492889664 is an abundant number, since it is smaller than the sum of its proper divisors (8704054727159).

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

8435492889664 is an frugal number, since it uses more digits than its factorization.

8435492889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16984 (or 8488 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 76.

The spelling of 8435492889664 in words is "eight trillion, four hundred thirty-five billion, four hundred ninety-two million, eight hundred eighty-nine thousand, six hundred sixty-four".