29774407167649 has 9 divisors (see below), whose sum is σ = 29948457910969. Its totient is φ = 29601362233840.

The previous prime is 29774407167581. The next prime is 29774407167653. The reversal of 29774407167649 is 94676170447792.

The square root of 29774407167649 is 5456593.

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 1595636344225 + 28178770823424 = 1263185^2 + 5308368^2 .

It is not a de Polignac number, because 29774407167649 - 2³³ = 29765817233057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (29774407167049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 943974819 + ... + 944006359.

Almost surely, 2^{29774407167649} is an apocalyptic number.

29774407167649 is the 5456593-rd square number.

29774407167649 is the 2728297-th centered octagonal number.

It is an amenable number.

29774407167649 is a deficient number, since it is larger than the sum of its proper divisors (174050743320).

29774407167649 is an frugal number, since it uses more digits than its factorization.

29774407167649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63428 (or 31714 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 73.

The spelling of 29774407167649 in words is "twenty-nine trillion, seven hundred seventy-four billion, four hundred seven million, one hundred sixty-seven thousand, six hundred forty-nine".