21883876624 has 45 divisors (see below), whose sum is σ = 43848628869. Its totient is φ = 10580096640.

The previous prime is 21883876621. The next prime is 21883876627. The reversal of 21883876624 is 42667838812.

The square root of 21883876624 is 147932.

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

It is an interprime number because it is at equal distance from previous prime (21883876621) and next prime (21883876627).

It can be written as a sum of positive squares in only one way, i.e., 11240240400 + 10643636224 = 106020^2 + 103168^2 .

It is not an unprimeable number, because it can be changed into a prime (21883876621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18342972 + ... + 18344164.

Almost surely, 2^21883876624 is an apocalyptic number.

21883876624 is the 147932-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21883876624

21883876624 is an abundant number, since it is smaller than the sum of its proper divisors (21964752245).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21883876624 is an frugal number, since it uses more digits than its factorization.

21883876624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456 (or 1226 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 55.

The spelling of 21883876624 in words is "twenty-one billion, eight hundred eighty-three million, eight hundred seventy-six thousand, six hundred twenty-four".