22638269304 has 288 divisors, whose sum is σ = 74265984000. Its totient is φ = 6204086784.

The previous prime is 22638269299. The next prime is 22638269323. The reversal of 22638269304 is 40396283622.

It is a happy number.

22638269304 is a `hidden beast` number, since 2 + 2 + 638 + 2 + 6 + 9 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 22638269304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17699337 + ... + 17700615.

It is an arithmetic number, because the mean of its divisors is an integer number (257868000).

Almost surely, 2^22638269304 is an apocalyptic number.

22638269304 is a gapful number since it is divisible by the number (24) 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 22638269304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37132992000).

22638269304 is an abundant number, since it is smaller than the sum of its proper divisors (51627714696).

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

22638269304 is a wasteful number, since it uses less digits than its factorization.

22638269304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 22638269304 in words is "twenty-two billion, six hundred thirty-eight million, two hundred sixty-nine thousand, three hundred four".