22221646272 has 196 divisors, whose sum is σ = 75559824496. Its totient is φ = 6348948480.

The previous prime is 22221646261. The next prime is 22221646283. The reversal of 22221646272 is 27264612222.

22221646272 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 1 + 646 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22221646261) and next prime (22221646283).

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 an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 292572 + ... + 360612.

Almost surely, 2^22221646272 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 22221646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37779912248).

22221646272 is an abundant number, since it is smaller than the sum of its proper divisors (53338178224).

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

22221646272 is an frugal number, since it uses more digits than its factorization.

22221646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68078 (or 68053 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The spelling of 22221646272 in words is "twenty-two billion, two hundred twenty-one million, six hundred forty-six thousand, two hundred seventy-two".