8008469845776 has 105 divisors (see below), whose sum is σ = 23264861102679. Its totient is φ = 2669388071328.

The previous prime is 8008469845769. The next prime is 8008469845787. The reversal of 8008469845776 is 6775489648008.

The square root of 8008469845776 is 2829924.

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

8008469845776 is a `hidden beast` number, since 8 + 0 + 0 + 8 + 46 + 9 + 8 + 4 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 305618691 + ... + 305644893.

Almost surely, 2^{8008469845776} is an apocalyptic number.

8008469845776 is the 2829924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008469845776

8008469845776 is an abundant number, since it is smaller than the sum of its proper divisors (15256391256903).

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

8008469845776 is an frugal number, since it uses more digits than its factorization.

8008469845776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52432 (or 26208 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 8008469845776 in words is "eight trillion, eight billion, four hundred sixty-nine million, eight hundred forty-five thousand, seven hundred seventy-six".