22082493888 has 448 divisors, whose sum is σ = 80332600320. Its totient is φ = 5792477184.

The previous prime is 22082493871. The next prime is 22082493889. The reversal of 22082493888 is 88839428022.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22082493889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49847395 + ... + 49847837.

It is an arithmetic number, because the mean of its divisors is an integer number (179313840).

Almost surely, 2^22082493888 is an apocalyptic number.

22082493888 is a gapful number since it is divisible by the number (28) 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 22082493888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40166300160).

22082493888 is an abundant number, since it is smaller than the sum of its proper divisors (58250106432).

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

22082493888 is a wasteful number, since it uses less digits than its factorization.

22082493888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 22082493888 in words is "twenty-two billion, eighty-two million, four hundred ninety-three thousand, eight hundred eighty-eight".