21714095667264 has 1344 divisors, whose sum is σ = 84575996854272. Its totient is φ = 4818968985600.

The previous prime is 21714095667259. The next prime is 21714095667317. The reversal of 21714095667264 is 46276659041712.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 21714095667198 and 21714095667207.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 959218954 + ... + 959241590.

It is an arithmetic number, because the mean of its divisors is an integer number (62928569088).

Almost surely, 2^{21714095667264} is an apocalyptic number.

21714095667264 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 21714095667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42287998427136).

21714095667264 is an abundant number, since it is smaller than the sum of its proper divisors (62861901187008).

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

21714095667264 is a wasteful number, since it uses less digits than its factorization.

21714095667264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22744 (or 22727 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 21714095667264 in words is "twenty-one trillion, seven hundred fourteen billion, ninety-five million, six hundred sixty-seven thousand, two hundred sixty-four".