21364970883168 has 384 divisors, whose sum is σ = 62406808418304. Its totient is φ = 6345813196800.

The previous prime is 21364970883161. The next prime is 21364970883173. The reversal of 21364970883168 is 86138807946312.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 21364970883099 and 21364970883108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21364970883161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9886612008 + ... + 9886614168.

It is an arithmetic number, because the mean of its divisors is an integer number (162517730256).

Almost surely, 2^{21364970883168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21364970883168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31203404209152).

21364970883168 is an abundant number, since it is smaller than the sum of its proper divisors (41041837535136).

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

21364970883168 is a wasteful number, since it uses less digits than its factorization.

21364970883168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 21364970883168 in words is "twenty-one trillion, three hundred sixty-four billion, nine hundred seventy million, eight hundred eighty-three thousand, one hundred sixty-eight".