20313945729 has 81 divisors (see below), whose sum is σ = 37578948771. Its totient is φ = 10535595840.

The previous prime is 20313945727. The next prime is 20313945733. The reversal of 20313945729 is 92754931302.

The square root of 20313945729 is 142527.

It is a perfect power (a square), and thus also a powerful number.

20313945729 is a `hidden beast` number, since 203 + 1 + 394 + 57 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 588305025 + 19725640704 = 24255^2 + 140448^2 .

It is not a de Polignac number, because 20313945729 - 2¹ = 20313945727 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20313945727) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 32923429 + ... + 32924045.

Almost surely, 2^20313945729 is an apocalyptic number.

20313945729 is the 142527-th square number.

20313945729 is the 71264-th centered octagonal number.

It is an amenable number.

20313945729 is a deficient number, since it is larger than the sum of its proper divisors (17265003042).

20313945729 is an equidigital number, since it uses as much as digits as its factorization.

20313945729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 20313945729 in words is "twenty billion, three hundred thirteen million, nine hundred forty-five thousand, seven hundred twenty-nine".