451729667968489 has 7 divisors (see below), whose sum is σ = 453366369664027. Its totient is φ = 450098874943332.

The previous prime is 451729667968477. The next prime is 451729667968543. The reversal of 451729667968489 is 984869766927154.

The square root of 451729667968489 is 21253933.

The cubic root of 451729667968489 is 76729.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 415670747880025 + 36058920088464 = 20388005^2 + 6004908^2 .

It is not a de Polignac number, because 451729667968489 - 2⁵ = 451729667968457 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (451729667968459) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 1630793025019 + ... + 1630793025295.

Almost surely, 2^{451729667968489} is an apocalyptic number.

451729667968489 is the 21253933-rd square number.

451729667968489 is the 10626967-th centered octagonal number.

It is an amenable number.

451729667968489 is a deficient number, since it is larger than the sum of its proper divisors (1636701695538).

451729667968489 is an frugal number, since it uses more digits than its factorization.

451729667968489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 277 counting only the distinct ones).

The product of its digits is 79009136640, while the sum is 91.

The spelling of 451729667968489 in words is "four hundred fifty-one trillion, seven hundred twenty-nine billion, six hundred sixty-seven million, nine hundred sixty-eight thousand, four hundred eighty-nine".