22720488649128 has 192 divisors, whose sum is σ = 65120601546000. Its totient is φ = 7146000175104.

The previous prime is 22720488649093. The next prime is 22720488649141. The reversal of 22720488649128 is 82194688402722.

22720488649128 is a `hidden beast` number, since 2 + 2 + 7 + 2 + 0 + 48 + 86 + 491 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19513087039044 + 3207401610084 = 4417362^2 + 1790922^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15930450 + ... + 17297982.

Almost surely, 2^{22720488649128} 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 22720488649128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32560300773000).

22720488649128 is an abundant number, since it is smaller than the sum of its proper divisors (42400112896872).

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

22720488649128 is a wasteful number, since it uses less digits than its factorization.

22720488649128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367756 (or 1367749 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 22720488649128 in words is "twenty-two trillion, seven hundred twenty billion, four hundred eighty-eight million, six hundred forty-nine thousand, one hundred twenty-eight".