21322475460864 has 216 divisors, whose sum is σ = 61678348884152. Its totient is φ = 7084346572800.

The previous prime is 21322475460827. The next prime is 21322475460893. The reversal of 21322475460864 is 46806457422312.

It is a happy number.

21322475460864 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 24 + 7 + 5 + 4 + 608 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5457867819264 + 15864607641600 = 2336208^2 + 3983040^2 .

It is a super-3 number, since 3×21322475460864³ (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21322475460864.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1733387514 + ... + 1733399814.

Almost surely, 2^{21322475460864} is an apocalyptic number.

21322475460864 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 21322475460864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30839174442076).

21322475460864 is an abundant number, since it is smaller than the sum of its proper divisors (40355873423288).

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

21322475460864 is a wasteful number, since it uses less digits than its factorization.

21322475460864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14713 (or 14696 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 21322475460864 in words is "twenty-one trillion, three hundred twenty-two billion, four hundred seventy-five million, four hundred sixty thousand, eight hundred sixty-four".