2966238064729 has 9 divisors (see below), whose sum is σ = 2970828132733. Its totient is φ = 2961655085632.

The previous prime is 2966238064703. The next prime is 2966238064787. The reversal of 2966238064729 is 9274608326692.

The square root of 2966238064729 is 1722277.

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 2400655854025 + 565582210704 = 1549405^2 + 752052^2 .

It is not a de Polignac number, because 2966238064729 - 2¹¹ = 2966238062681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2966298064729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1910004417 + ... + 1910005969.

Almost surely, 2^{2966238064729} is an apocalyptic number.

2966238064729 is the 1722277-th square number.

2966238064729 is the 861139-th centered octagonal number.

It is an amenable number.

2966238064729 is a deficient number, since it is larger than the sum of its proper divisors (4590068004).

2966238064729 is an frugal number, since it uses more digits than its factorization.

2966238064729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5324 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 64.

Multiplying 2966238064729 by its sum of digits (64), we get a square (189839236142656 = 13778216²).

The spelling of 2966238064729 in words is "two trillion, nine hundred sixty-six billion, two hundred thirty-eight million, sixty-four thousand, seven hundred twenty-nine".