22269468672 has 448 divisors, whose sum is σ = 73511176320. Its totient is φ = 6688604160.

The previous prime is 22269468659. The next prime is 22269468679. The reversal of 22269468672 is 27686496222.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22269468679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197074888 + ... + 197075000.

Almost surely, 2^22269468672 is an apocalyptic number.

22269468672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22269468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36755588160).

22269468672 is an abundant number, since it is smaller than the sum of its proper divisors (51241707648).

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

22269468672 is an frugal number, since it uses more digits than its factorization.

22269468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 129 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 22269468672 in words is "twenty-two billion, two hundred sixty-nine million, four hundred sixty-eight thousand, six hundred seventy-two".