22427286336 has 336 divisors, whose sum is σ = 79429319424. Its totient is φ = 5891678208.

The previous prime is 22427286313. The next prime is 22427286341. The reversal of 22427286336 is 63368272422.

22427286336 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 7 + 2 + 8 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22427286291 and 22427286300.

It is a congruent number.

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, 16405525 + ... + 16406891.

It is an arithmetic number, because the mean of its divisors is an integer number (236396784).

Almost surely, 2^22427286336 is an apocalyptic number.

22427286336 is a gapful number since it is divisible by the number (26) 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 22427286336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39714659712).

22427286336 is an abundant number, since it is smaller than the sum of its proper divisors (57002033088).

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

22427286336 is a wasteful number, since it uses less digits than its factorization.

22427286336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1705 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 22427286336 in words is "twenty-two billion, four hundred twenty-seven million, two hundred eighty-six thousand, three hundred thirty-six".