22072647168 has 960 divisors, whose sum is σ = 82577214720. Its totient is φ = 5573836800.

The previous prime is 22072647151. The next prime is 22072647229. The reversal of 22072647168 is 86174627022.

It is a happy number.

22072647168 is a `hidden beast` number, since 220 + 7 + 264 + 7 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 513317355 + ... + 513317397.

It is an arithmetic number, because the mean of its divisors is an integer number (86017932).

Almost surely, 2^22072647168 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 22072647168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41288607360).

22072647168 is an abundant number, since it is smaller than the sum of its proper divisors (60504567552).

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

22072647168 is a wasteful number, since it uses less digits than its factorization.

22072647168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 22072647168 in words is "twenty-two billion, seventy-two million, six hundred forty-seven thousand, one hundred sixty-eight".