20345884321 has 45 divisors (see below), whose sum is σ = 24675966899. Its totient is φ = 16774346400.

The previous prime is 20345884309. The next prime is 20345884367. The reversal of 20345884321 is 12348854302.

The square root of 20345884321 is 142639.

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., 980378721 + 19365505600 = 31311^2 + 139160^2 .

It is not a de Polignac number, because 20345884321 - 2⁵ = 20345884289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20345884421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 286561716 + ... + 286561786.

Almost surely, 2^20345884321 is an apocalyptic number.

20345884321 is the 142639-th square number.

20345884321 is the 71320-th centered octagonal number.

It is an amenable number.

20345884321 is a deficient number, since it is larger than the sum of its proper divisors (4330082578).

20345884321 is an frugal number, since it uses more digits than its factorization.

20345884321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 20345884321 in words is "twenty billion, three hundred forty-five million, eight hundred eighty-four thousand, three hundred twenty-one".