21008183364 has 405 divisors, whose sum is σ = 68157088727. Its totient is φ = 5454457344.

The previous prime is 21008183353. The next prime is 21008183401. The reversal of 21008183364 is 46338180012.

The square root of 21008183364 is 144942.

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

21008183364 is a `hidden beast` number, since 210 + 0 + 8 + 1 + 83 + 364 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2076624900 + 18931558464 = 45570^2 + 137592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 724420102 + ... + 724420130.

Almost surely, 2^21008183364 is an apocalyptic number.

21008183364 is the 144942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21008183364

21008183364 is an abundant number, since it is smaller than the sum of its proper divisors (47148905363).

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

21008183364 is a wasteful number, since it uses less digits than its factorization.

21008183364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 21008183364 by its sum of digits (36), we get a square (756294601104 = 869652²).

21008183364 divided by its sum of digits (36) gives a square (583560649 = 24157²).

The spelling of 21008183364 in words is "twenty-one billion, eight million, one hundred eighty-three thousand, three hundred sixty-four".