8147901929209 has 63 divisors (see below), whose sum is σ = 10193351181987. Its totient is φ = 6493903410624.

The previous prime is 8147901929197. The next prime is 8147901929269. The reversal of 8147901929209 is 9029291097418.

The square root of 8147901929209 is 2854453.

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

It can be written as a sum of positive squares in 3 ways, for example, as 82710884025 + 8065191045184 = 287595^2 + 2839928^2 .

It is not a de Polignac number, because 8147901929209 - 2¹⁵ = 8147901896441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8147901929269) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 98167493082 + ... + 98167493164.

Almost surely, 2^{8147901929209} is an apocalyptic number.

8147901929209 is the 2854453-rd square number.

8147901929209 is the 1427227-th centered octagonal number.

It is an amenable number.

8147901929209 is a deficient number, since it is larger than the sum of its proper divisors (2045449252778).

8147901929209 is an frugal number, since it uses more digits than its factorization.

8147901929209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 61.

The spelling of 8147901929209 in words is "eight trillion, one hundred forty-seven billion, nine hundred one million, nine hundred twenty-nine thousand, two hundred nine".