21936792770929 has 27 divisors (see below), whose sum is σ = 22478440401291. Its totient is φ = 21408132548400.

The previous prime is 21936792770923. The next prime is 21936792770999. The reversal of 21936792770929 is 92907729763912.

The square root of 21936792770929 is 4683673.

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., 21076610719329 + 860182051600 = 4590927^2 + 927460^2 .

It is a de Polignac number, because none of the positive numbers 2^k-21936792770929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21936792770923) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37371026574 + ... + 37371027160.

Almost surely, 2^{21936792770929} is an apocalyptic number.

21936792770929 is the 4683673-rd square number.

21936792770929 is the 2341837-th centered octagonal number.

It is an amenable number.

21936792770929 is a deficient number, since it is larger than the sum of its proper divisors (541647630362).

21936792770929 is an frugal number, since it uses more digits than its factorization.

21936792770929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 324060912, while the sum is 73.

The spelling of 21936792770929 in words is "twenty-one trillion, nine hundred thirty-six billion, seven hundred ninety-two million, seven hundred seventy thousand, nine hundred twenty-nine".