29449305664 has 63 divisors (see below), whose sum is σ = 61730731377. Its totient is φ = 13937315328.

The previous prime is 29449305559. The next prime is 29449305679. The reversal of 29449305664 is 46650394492.

It is a happy number.

The square root of 29449305664 is 171608.

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., 2500800064 + 26948505600 = 50008^2 + 164160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26083852 + ... + 26084980.

It is an arithmetic number, because the mean of its divisors is an integer number (979852879).

Almost surely, 2^29449305664 is an apocalyptic number.

29449305664 is the 171608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29449305664

29449305664 is an abundant number, since it is smaller than the sum of its proper divisors (32281425713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29449305664 is an frugal number, since it uses more digits than its factorization.

29449305664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 52.

The spelling of 29449305664 in words is "twenty-nine billion, four hundred forty-nine million, three hundred five thousand, six hundred sixty-four".