20632162321 has 9 divisors (see below), whose sum is σ = 20753381883. Its totient is φ = 20511649200.

The previous prime is 20632162303. The next prime is 20632162403. The reversal of 20632162321 is 12326123602.

The square root of 20632162321 is 143639.

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., 17341992721 + 3290169600 = 131689^2 + 57360^2 .

It is not a de Polignac number, because 20632162321 - 2²⁹ = 20095291409 is a prime.

It is a super-2 number, since 2×20632162321² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20632162321.

It is not an unprimeable number, because it can be changed into a prime (20632162021) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34329421 + ... + 34330021.

Almost surely, 2^20632162321 is an apocalyptic number.

20632162321 is the 143639-th square number.

20632162321 is the 71820-th centered octagonal number.

It is an amenable number.

20632162321 is a deficient number, since it is larger than the sum of its proper divisors (121219562).

20632162321 is an frugal number, since it uses more digits than its factorization.

20632162321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Multiplying 20632162321 by its product of nonzero digits (5184), we get a square (106957129472064 = 10342008²).

Adding to 20632162321 its reverse (12326123602), we get a palindrome (32958285923).

The spelling of 20632162321 in words is "twenty billion, six hundred thirty-two million, one hundred sixty-two thousand, three hundred twenty-one".