29889269883664 has 45 divisors (see below), whose sum is σ = 58308086159743. Its totient is φ = 14842717114496.

The previous prime is 29889269883643. The next prime is 29889269883677. The reversal of 29889269883664 is 46638896298892.

The square root of 29889269883664 is 5467108.

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 22716471792400 + 7172798091264 = 4766180^2 + 2678208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3258391782 + ... + 3258400954.

Almost surely, 2^{29889269883664} is an apocalyptic number.

29889269883664 is the 5467108-th square number.

It is an amenable number.

29889269883664 is a deficient number, since it is larger than the sum of its proper divisors (28418816276079).

29889269883664 is an frugal number, since it uses more digits than its factorization.

29889269883664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18652 (or 9324 counting only the distinct ones).

The product of its digits is 30958682112, while the sum is 88.

The spelling of 29889269883664 in words is "twenty-nine trillion, eight hundred eighty-nine billion, two hundred sixty-nine million, eight hundred eighty-three thousand, six hundred sixty-four".