21664523310144 has 448 divisors, whose sum is σ = 69923619360000. Its totient is φ = 5829232066560.

The previous prime is 21664523310109. The next prime is 21664523310169. The reversal of 21664523310144 is 44101332546612.

It is a super-3 number, since 3×21664523310144³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21664523310096 and 21664523310105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214133682 + ... + 214234830.

It is an arithmetic number, because the mean of its divisors is an integer number (156079507500).

Almost surely, 2^{21664523310144} is an apocalyptic number.

21664523310144 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 21664523310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34961809680000).

21664523310144 is an abundant number, since it is smaller than the sum of its proper divisors (48259096049856).

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

21664523310144 is a wasteful number, since it uses less digits than its factorization.

21664523310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101486 (or 101476 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 21664523310144 its reverse (44101332546612), we get a palindrome (65765855856756).

The spelling of 21664523310144 in words is "twenty-one trillion, six hundred sixty-four billion, five hundred twenty-three million, three hundred ten thousand, one hundred forty-four".