12880468789969 has 27 divisors (see below), whose sum is σ = 14209566617883. Its totient is φ = 11666916399600.

The previous prime is 12880468789967. The next prime is 12880468790023. The reversal of 12880468789969 is 96998786408821.

The square root of 12880468789969 is 3588937.

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

It can be written as a sum of positive squares in only one way, i.e., 7957448601025 + 4923020188944 = 2820895^2 + 2218788^2 .

It is not a de Polignac number, because 12880468789969 - 2¹ = 12880468789967 is a prime.

It is a super-2 number, since 2×12880468789969² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12880468789967) 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, 17015149939 + ... + 17015150695.

Almost surely, 2^{12880468789969} is an apocalyptic number.

12880468789969 is the 3588937-th square number.

12880468789969 is the 1794469-th centered octagonal number.

It is an amenable number.

12880468789969 is a deficient number, since it is larger than the sum of its proper divisors (1329097827914).

12880468789969 is an frugal number, since it uses more digits than its factorization.

12880468789969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 6019743744, while the sum is 85.

The spelling of 12880468789969 in words is "twelve trillion, eight hundred eighty billion, four hundred sixty-eight million, seven hundred eighty-nine thousand, nine hundred sixty-nine".