22279245236208 has 240 divisors, whose sum is σ = 66125973041856. Its totient is φ = 6978214748160.

The previous prime is 22279245236179. The next prime is 22279245236233. The reversal of 22279245236208 is 80263254297222.

22279245236208 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 9 + 2 + 4 + 5 + 2 + 3 + 620 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7278418998 + ... + 7278422058.

Almost surely, 2^{22279245236208} 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 22279245236208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33062986520928).

22279245236208 is an abundant number, since it is smaller than the sum of its proper divisors (43846727805648).

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

22279245236208 is a wasteful number, since it uses less digits than its factorization.

22279245236208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6943 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 22279245236208 in words is "twenty-two trillion, two hundred seventy-nine billion, two hundred forty-five million, two hundred thirty-six thousand, two hundred eight".