22728731622168 has 384 divisors, whose sum is σ = 67915782063360. Its totient is φ = 6296111078400.

The previous prime is 22728731622151. The next prime is 22728731622203. The reversal of 22728731622168 is 86122613782722.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 1819602403 + ... + 1819614893.

It is an arithmetic number, because the mean of its divisors is an integer number (176864015790).

Almost surely, 2^{22728731622168} 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 22728731622168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33957891031680).

22728731622168 is an abundant number, since it is smaller than the sum of its proper divisors (45187050441192).

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

22728731622168 is a wasteful number, since it uses less digits than its factorization.

22728731622168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12999 (or 12984 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The spelling of 22728731622168 in words is "twenty-two trillion, seven hundred twenty-eight billion, seven hundred thirty-one million, six hundred twenty-two thousand, one hundred sixty-eight".