22611256164 has 192 divisors, whose sum is σ = 71053355520. Its totient is φ = 6070394880.

The previous prime is 22611256133. The next prime is 22611256183. The reversal of 22611256164 is 46165211622.

22611256164 is a `hidden beast` number, since 2 + 2 + 6 + 11 + 25 + 616 + 4 = 666.

It is a super-2 number, since 2×22611256164² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11321614 + ... + 11323610.

It is an arithmetic number, because the mean of its divisors is an integer number (370069560).

Almost surely, 2^22611256164 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 22611256164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35526677760).

22611256164 is an abundant number, since it is smaller than the sum of its proper divisors (48442099356).

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

22611256164 is a wasteful number, since it uses less digits than its factorization.

22611256164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2907 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 22611256164 its reverse (46165211622), we get a palindrome (68776467786).

The spelling of 22611256164 in words is "twenty-two billion, six hundred eleven million, two hundred fifty-six thousand, one hundred sixty-four".