22549868998272 has 960 divisors, whose sum is σ = 82844917515360. Its totient is φ = 5838466314240.

The previous prime is 22549868998271. The next prime is 22549868998361. The reversal of 22549868998272 is 27289986894522.

22549868998272 is a `hidden beast` number, since 2 + 2 + 549 + 8 + 68 + 9 + 9 + 8 + 2 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22549868998191 and 22549868998200.

It is not an unprimeable number, because it can be changed into a prime (22549868998271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11348700063 + ... + 11348702049.

Almost surely, 2^{22549868998272} is an apocalyptic number.

22549868998272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22549868998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41422458757680).

22549868998272 is an abundant number, since it is smaller than the sum of its proper divisors (60295048517088).

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

22549868998272 is a wasteful number, since it uses less digits than its factorization.

22549868998272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2383 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 22549868998272 in words is "twenty-two trillion, five hundred forty-nine billion, eight hundred sixty-eight million, nine hundred ninety-eight thousand, two hundred seventy-two".