21164489838144 has 189 divisors, whose sum is σ = 61604670936081. Its totient is φ = 6947104919040.

The previous prime is 21164489838131. The next prime is 21164489838169. The reversal of 21164489838144 is 44183898446112.

The square root of 21164489838144 is 4600488.

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

21164489838144 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 4 + 489 + 8 + 3 + 8 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11830242798144 + 9334247040000 = 3439512^2 + 3055200^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7397583274 + ... + 7397586134.

Almost surely, 2^{21164489838144} is an apocalyptic number.

21164489838144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

21164489838144 is the 4600488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21164489838144

21164489838144 is an abundant number, since it is smaller than the sum of its proper divisors (40440181097937).

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

21164489838144 is an frugal number, since it uses more digits than its factorization.

21164489838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 2933 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 63.

The spelling of 21164489838144 in words is "twenty-one trillion, one hundred sixty-four billion, four hundred eighty-nine million, eight hundred thirty-eight thousand, one hundred forty-four".