429954292681 has 9 divisors (see below), whose sum is σ = 453787624173. Its totient is φ = 407313316620.

The previous prime is 429954292633. The next prime is 429954292699. The reversal of 429954292681 is 186292459924.

The square root of 429954292681 is 655709.

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

It is not a de Polignac number, because 429954292681 - 2²⁵ = 429920738249 is a prime.

It is a super-2 number, since 2×429954292681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (429954292181) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12441216 + ... + 12475726.

Almost surely, 2^429954292681 is an apocalyptic number.

429954292681 is the 655709-th square number.

429954292681 is the 327855-th centered octagonal number.

It is an amenable number.

429954292681 is a deficient number, since it is larger than the sum of its proper divisors (23833331492).

429954292681 is an frugal number, since it uses more digits than its factorization.

429954292681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69060 (or 34530 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 61.

The spelling of 429954292681 in words is "four hundred twenty-nine billion, nine hundred fifty-four million, two hundred ninety-two thousand, six hundred eighty-one".