22664097216 has 224 divisors, whose sum is σ = 69056585280. Its totient is φ = 7283146752.

The previous prime is 22664097191. The next prime is 22664097217. The reversal of 22664097216 is 61279046622.

22664097216 is a `hidden beast` number, since 2 + 26 + 6 + 409 + 7 + 216 = 666.

It is a super-2 number, since 2×22664097216² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22664097217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7223200 + ... + 7226336.

Almost surely, 2^22664097216 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 22664097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34528292640).

22664097216 is an abundant number, since it is smaller than the sum of its proper divisors (46392488064).

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

22664097216 is a wasteful number, since it uses less digits than its factorization.

22664097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 22664097216 in words is "twenty-two billion, six hundred sixty-four million, ninety-seven thousand, two hundred sixteen".