32429460027969 has 15 divisors (see below), whose sum is σ = 48444084751953. Its totient is φ = 21619605850524.

The previous prime is 32429460027949. The next prime is 32429460028001. The reversal of 32429460027969 is 96972006492423.

The square root of 32429460027969 is 5694687.

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

32429460027969 is a `hidden beast` number, since 3 + 2 + 42 + 9 + 460 + 0 + 2 + 79 + 69 = 666.

It is not a de Polignac number, because 32429460027969 - 2²⁵ = 32429426473537 is a prime.

It is a super-2 number, since 2×32429460027969² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32429460027949) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 50935812 + ... + 51568554.

Almost surely, 2^{32429460027969} is an apocalyptic number.

32429460027969 is the 5694687-th square number.

32429460027969 is the 2847344-th centered octagonal number.

It is an amenable number.

32429460027969 is a deficient number, since it is larger than the sum of its proper divisors (16014624723984).

32429460027969 is an frugal number, since it uses more digits than its factorization.

32429460027969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265498 (or 632746 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 32429460027969 in words is "thirty-two trillion, four hundred twenty-nine billion, four hundred sixty million, twenty-seven thousand, nine hundred sixty-nine".