11200220168929 has 27 divisors (see below), whose sum is σ = 12359531071251. Its totient is φ = 10142025593040.

The previous prime is 11200220168927. The next prime is 11200220168957. The reversal of 11200220168929 is 92986102200211.

The square root of 11200220168929 is 3346673.

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., 6447907368529 + 4752312800400 = 2539273^2 + 2179980^2 .

It is not a de Polignac number, because 11200220168929 - 2¹ = 11200220168927 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11200220168927) 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, 13510518487 + ... + 13510519315.

Almost surely, 2^{11200220168929} is an apocalyptic number.

11200220168929 is the 3346673-rd square number.

11200220168929 is the 1673337-th centered octagonal number.

It is an amenable number.

11200220168929 is a deficient number, since it is larger than the sum of its proper divisors (1159310902322).

11200220168929 is an frugal number, since it uses more digits than its factorization.

11200220168929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 11200220168929 in words is "eleven trillion, two hundred billion, two hundred twenty million, one hundred sixty-eight thousand, nine hundred twenty-nine".