29450451287929 has 81 divisors (see below), whose sum is σ = 36847482599151. Its totient is φ = 23467336532640.

The previous prime is 29450451287927. The next prime is 29450451287969. The reversal of 29450451287929 is 92978215405492.

The square root of 29450451287929 is 5426827.

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., 26352668245225 + 3097783042704 = 5133485^2 + 1760052^2 .

It is not a de Polignac number, because 29450451287929 - 2¹ = 29450451287927 is a prime.

It is a super-2 number, since 2×29450451287929² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (29450451287927) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32327607984 + ... + 32327608894.

Almost surely, 2^{29450451287929} is an apocalyptic number.

29450451287929 is the 5426827-th square number.

29450451287929 is the 2713414-th centered octagonal number.

It is an amenable number.

29450451287929 is a deficient number, since it is larger than the sum of its proper divisors (7397031311222).

29450451287929 is an frugal number, since it uses more digits than its factorization.

29450451287929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 67.

The spelling of 29450451287929 in words is "twenty-nine trillion, four hundred fifty billion, four hundred fifty-one million, two hundred eighty-seven thousand, nine hundred twenty-nine".