22826748000 has 288 divisors, whose sum is σ = 86991716448. Its totient is φ = 5217408000.

The previous prime is 22826747941. The next prime is 22826748001. The reversal of 22826748000 is 84762822.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22826748000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22826748001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 568590 + ... + 607410.

It is an arithmetic number, because the mean of its divisors is an integer number (302054571).

Almost surely, 2^22826748000 is an apocalyptic number.

22826748000 is a gapful number since it is divisible by the number (20) 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 22826748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43495858224).

22826748000 is an abundant number, since it is smaller than the sum of its proper divisors (64164968448).

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

22826748000 is a wasteful number, since it uses less digits than its factorization.

22826748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38863 (or 38838 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 22826748000 in words is "twenty-two billion, eight hundred twenty-six million, seven hundred forty-eight thousand".