22538416384 has 81 divisors (see below), whose sum is σ = 49508530869. Its totient is φ = 10232724480.

The previous prime is 22538416321. The next prime is 22538416387. The reversal of 22538416384 is 48361483522.

The square root of 22538416384 is 150128.

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., 1301766400 + 21236649984 = 36080^2 + 145728^2 .

It is a super-3 number, since 3×22538416384³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22538416387) 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, 26422102 + ... + 26422954.

Almost surely, 2^22538416384 is an apocalyptic number.

22538416384 is the 150128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22538416384

22538416384 is an abundant number, since it is smaller than the sum of its proper divisors (26970114485).

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

22538416384 is an frugal number, since it uses more digits than its factorization.

22538416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 866 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The spelling of 22538416384 in words is "twenty-two billion, five hundred thirty-eight million, four hundred sixteen thousand, three hundred eighty-four".