21384030258369 has 9 divisors (see below), whose sum is σ = 30888063745123. Its totient is φ = 14256010923672.

The previous prime is 21384030258341. The next prime is 21384030258413. The reversal of 21384030258369 is 96385203048312.

The square root of 21384030258369 is 4624287.

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

21384030258369 is a `hidden beast` number, since 2 + 1 + 384 + 0 + 3 + 0 + 258 + 3 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19179696168369 + 2204334090000 = 4379463^2 + 1484700^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 21384030258369 - 2⁵ = 21384030258337 is a prime.

It is a super-2 number, since 2×21384030258369² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21384030258319) 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, 13102147 + ... + 14643575.

Almost surely, 2^{21384030258369} is an apocalyptic number.

21384030258369 is the 4624287-th square number.

21384030258369 is the 2312144-th centered octagonal number.

It is an amenable number.

21384030258369 is a deficient number, since it is larger than the sum of its proper divisors (9504033486754).

21384030258369 is an frugal number, since it uses more digits than its factorization.

21384030258369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082864 (or 1541432 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 21384030258369 in words is "twenty-one trillion, three hundred eighty-four billion, thirty million, two hundred fifty-eight thousand, three hundred sixty-nine".