21883001017329 has 27 divisors (see below), whose sum is σ = 32361854624697. Its totient is φ = 14249003065416.

The previous prime is 21883001017271. The next prime is 21883001017357. The reversal of 21883001017329 is 92371010038812.

The square root of 21883001017329 is 4677927.

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

21883001017329 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 300 + 1 + 0 + 17 + 329 = 666.

It is not a de Polignac number, because 21883001017329 - 2²¹ = 21882998920177 is a prime.

It is a super-3 number, since 3×21883001017329³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (21883001017379) 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, 603434452 + ... + 603470714.

Almost surely, 2^{21883001017329} is an apocalyptic number.

21883001017329 is the 4677927-th square number.

21883001017329 is the 2338964-th centered octagonal number.

It is an amenable number.

21883001017329 is a deficient number, since it is larger than the sum of its proper divisors (10478853607368).

21883001017329 is an frugal number, since it uses more digits than its factorization.

21883001017329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72618 (or 36309 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21883001017329 in words is "twenty-one trillion, eight hundred eighty-three billion, one million, seventeen thousand, three hundred twenty-nine".