29529529755664 has 45 divisors (see below), whose sum is σ = 57519614253213. Its totient is φ = 14686176807936.

The previous prime is 29529529755653. The next prime is 29529529755673. The reversal of 29529529755664 is 46655792592592.

The square root of 29529529755664 is 5434108.

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., 7154662032400 + 22374867723264 = 2674820^2 + 4730208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4195127857 + ... + 4195134895.

Almost surely, 2^{29529529755664} is an apocalyptic number.

29529529755664 is the 5434108-th square number.

It is an amenable number.

29529529755664 is a deficient number, since it is larger than the sum of its proper divisors (27990084497549).

29529529755664 is an frugal number, since it uses more digits than its factorization.

29529529755664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14472 (or 7234 counting only the distinct ones).

The product of its digits is 3674160000, while the sum is 76.

The spelling of 29529529755664 in words is "twenty-nine trillion, five hundred twenty-nine billion, five hundred twenty-nine million, seven hundred fifty-five thousand, six hundred sixty-four".