21321344343264 has 96 divisors (see below), whose sum is σ = 64013890671360. Its totient is φ = 6087064323072.

The previous prime is 21321344343251. The next prime is 21321344343293. The reversal of 21321344343264 is 46234344312312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11502669 + ... + 13227020.

It is an arithmetic number, because the mean of its divisors is an integer number (666811361160).

Almost surely, 2^{21321344343264} is an apocalyptic number.

21321344343264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21321344343264 is an abundant number, since it is smaller than the sum of its proper divisors (42692546328096).

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

21321344343264 is a wasteful number, since it uses less digits than its factorization.

21321344343264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24730992 (or 24730984 counting only the distinct ones).

The product of its digits is 995328, while the sum is 42.

Adding to 21321344343264 its reverse (46234344312312), we get a palindrome (67555688655576).

The spelling of 21321344343264 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred forty-four million, three hundred forty-three thousand, two hundred sixty-four".