8929297405249 has 27 divisors (see below), whose sum is σ = 9857151480603. Its totient is φ = 8085046225152.

The previous prime is 8929297405219. The next prime is 8929297405261. The reversal of 8929297405249 is 9425047929298.

The square root of 8929297405249 is 2988193.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8902913250625 + 26384154624 = 2983775^2 + 162432^2 .

It is not a de Polignac number, because 8929297405249 - 2⁹ = 8929297404737 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8929297405219) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2058862809 + ... + 2058867145.

Almost surely, 2^{8929297405249} is an apocalyptic number.

8929297405249 is the 2988193-rd square number.

8929297405249 is the 1494097-th centered octagonal number.

It is an amenable number.

8929297405249 is a deficient number, since it is larger than the sum of its proper divisors (927854075354).

8929297405249 is an frugal number, since it uses more digits than its factorization.

8929297405249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 70.

The spelling of 8929297405249 in words is "eight trillion, nine hundred twenty-nine billion, two hundred ninety-seven million, four hundred five thousand, two hundred forty-nine".