21622163140064 has 96 divisors (see below), whose sum is σ = 45958078494720. Its totient is φ = 9982941455872.

The previous prime is 21622163140057. The next prime is 21622163140091. The reversal of 21622163140064 is 46004136122612.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148203857 + ... + 148349679.

It is an arithmetic number, because the mean of its divisors is an integer number (478729984320).

Almost surely, 2^{21622163140064} 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 21622163140064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22979039247360).

21622163140064 is an abundant number, since it is smaller than the sum of its proper divisors (24335915354656).

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

21622163140064 is a wasteful number, since it uses less digits than its factorization.

21622163140064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152832 (or 152824 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

Adding to 21622163140064 its reverse (46004136122612), we get a palindrome (67626299262676).

The spelling of 21622163140064 in words is "twenty-one trillion, six hundred twenty-two billion, one hundred sixty-three million, one hundred forty thousand, sixty-four".