22312164672 has 168 divisors, whose sum is σ = 73667250176. Its totient is φ = 6324562944.

The previous prime is 22312164659. The next prime is 22312164673. The reversal of 22312164672 is 27646121322.

22312164672 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 2 + 1 + 646 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×22312164672³ (a number of 32 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312164673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 490278 + ... + 533850.

Almost surely, 2^22312164672 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 22312164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36833625088).

22312164672 is an abundant number, since it is smaller than the sum of its proper divisors (51355085504).

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

22312164672 is a wasteful number, since it uses less digits than its factorization.

22312164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43725 (or 43712 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

Adding to 22312164672 its reverse (27646121322), we get a palindrome (49958285994).

The spelling of 22312164672 in words is "twenty-two billion, three hundred twelve million, one hundred sixty-four thousand, six hundred seventy-two".