65368682929 has 15 divisors (see below), whose sum is σ = 71939150715. Its totient is φ = 59397951360.

The previous prime is 65368682923. The next prime is 65368682941. The reversal of 65368682929 is 92928686356.

It is a happy number.

The square root of 65368682929 is 255673.

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., 61858225 + 65306824704 = 7865^2 + 255552^2 .

It is not a de Polignac number, because 65368682929 - 2²⁷ = 65234465201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65368682923) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 30935377 + ... + 30937489.

It is an arithmetic number, because the mean of its divisors is an integer number (4795943381).

Almost surely, 2^65368682929 is an apocalyptic number.

65368682929 is the 255673-rd square number.

65368682929 is the 127837-th centered octagonal number.

It is an amenable number.

65368682929 is a deficient number, since it is larger than the sum of its proper divisors (6570467786).

65368682929 is an frugal number, since it uses more digits than its factorization.

65368682929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 2124 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 64.

Multiplying 65368682929 by its sum of digits (64), we get a square (4183595707456 = 2045384²).

The spelling of 65368682929 in words is "sixty-five billion, three hundred sixty-eight million, six hundred eighty-two thousand, nine hundred twenty-nine".