22721353063164 has 288 divisors, whose sum is σ = 70370639539200. Its totient is φ = 6275364503040.

The previous prime is 22721353063151. The next prime is 22721353063207. The reversal of 22721353063164 is 46136035312722.

It is a happy number.

22721353063164 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 1 + 3 + 5 + 3 + 0 + 631 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30033457 + ... + 30780695.

It is an arithmetic number, because the mean of its divisors is an integer number (244342498400).

Almost surely, 2^{22721353063164} 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 22721353063164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35185319769600).

22721353063164 is an abundant number, since it is smaller than the sum of its proper divisors (47649286476036).

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

22721353063164 is a wasteful number, since it uses less digits than its factorization.

22721353063164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747415 (or 747401 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

Adding to 22721353063164 its reverse (46136035312722), we get a palindrome (68857388375886).

The spelling of 22721353063164 in words is "twenty-two trillion, seven hundred twenty-one billion, three hundred fifty-three million, sixty-three thousand, one hundred sixty-four".