398952667129 has 27 divisors (see below), whose sum is σ = 420843902157. Its totient is φ = 378187929504.

The previous prime is 398952667121. The next prime is 398952667153. The reversal of 398952667129 is 921766259893.

The square root of 398952667129 is 631627.

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

It can be written as a sum of positive squares in 4 ways, for example, as 137995161529 + 260957505600 = 371477^2 + 510840^2 .

It is not a de Polignac number, because 398952667129 - 2³ = 398952667121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (398952667121) 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, 1004918359 + ... + 1004918755.

It is an arithmetic number, because the mean of its divisors is an integer number (15586811191).

Almost surely, 2^398952667129 is an apocalyptic number.

398952667129 is the 631627-th square number.

398952667129 is the 315814-th centered octagonal number.

It is an amenable number.

398952667129 is a deficient number, since it is larger than the sum of its proper divisors (21891235028).

398952667129 is an frugal number, since it uses more digits than its factorization.

398952667129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 67.

The spelling of 398952667129 in words is "three hundred ninety-eight billion, nine hundred fifty-two million, six hundred sixty-seven thousand, one hundred twenty-nine".