21224032514164 has 48 divisors (see below), whose sum is σ = 37613608779600. Its totient is φ = 10478153917440.

The previous prime is 21224032514149. The next prime is 21224032514203. The reversal of 21224032514164 is 46141523042212.

21224032514164 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2347544908900 + 18876487605264 = 1532170^2 + 4344708^2 .

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, 830315944 + ... + 830341504.

It is an arithmetic number, because the mean of its divisors is an integer number (783616849575).

Almost surely, 2^{21224032514164} is an apocalyptic number.

It is an amenable number.

21224032514164 is a deficient number, since it is larger than the sum of its proper divisors (16389576265436).

21224032514164 is a wasteful number, since it uses less digits than its factorization.

21224032514164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33940 (or 33938 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 21224032514164 its reverse (46141523042212), we get a palindrome (67365555556376).

The spelling of 21224032514164 in words is "twenty-one trillion, two hundred twenty-four billion, thirty-two million, five hundred fourteen thousand, one hundred sixty-four".