21330324312264 has 192 divisors, whose sum is σ = 64363796078400. Its totient is φ = 6326636659200.

The previous prime is 21330324312251. The next prime is 21330324312337. The reversal of 21330324312264 is 46221342303312.

21330324312264 is a `hidden beast` number, since 2 + 1 + 330 + 3 + 2 + 4 + 312 + 2 + 6 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 16981554 + ... + 18194334.

It is an arithmetic number, because the mean of its divisors is an integer number (335228104575).

Almost surely, 2^{21330324312264} is an apocalyptic number.

21330324312264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21330324312264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32181898039200).

21330324312264 is an abundant number, since it is smaller than the sum of its proper divisors (43033471766136).

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

21330324312264 is a wasteful number, since it uses less digits than its factorization.

21330324312264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213276 (or 1213269 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 21330324312264 its reverse (46221342303312), we get a palindrome (67551666615576).

The spelling of 21330324312264 in words is "twenty-one trillion, three hundred thirty billion, three hundred twenty-four million, three hundred twelve thousand, two hundred sixty-four".