22263384642048 has 240 divisors, whose sum is σ = 70167516509376. Its totient is φ = 6739488645120.

The previous prime is 22263384642043. The next prime is 22263384642089. The reversal of 22263384642048 is 84024648336222.

22263384642048 is a `hidden beast` number, since 2 + 226 + 338 + 4 + 6 + 42 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22263384641985 and 22263384642003.

It is not an unprimeable number, because it can be changed into a prime (22263384642043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48788190 + ... + 49242402.

Almost surely, 2^{22263384642048} 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 22263384642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35083758254688).

22263384642048 is an abundant number, since it is smaller than the sum of its proper divisors (47904131867328).

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

22263384642048 is a wasteful number, since it uses less digits than its factorization.

22263384642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455215 (or 455196 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 22263384642048 in words is "twenty-two trillion, two hundred sixty-three billion, three hundred eighty-four million, six hundred forty-two thousand, forty-eight".