21998382192 has 160 divisors (see below), whose sum is σ = 65333596160. Its totient is φ = 7079581440.

The previous prime is 21998382157. The next prime is 21998382233. The reversal of 21998382192 is 29128389912.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6520218 + ... + 6523590.

It is an arithmetic number, because the mean of its divisors is an integer number (408334976).

Almost surely, 2^21998382192 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 21998382192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32666798080).

21998382192 is an abundant number, since it is smaller than the sum of its proper divisors (43335213968).

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

21998382192 is a wasteful number, since it uses less digits than its factorization.

21998382192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3896 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 21998382192 in words is "twenty-one billion, nine hundred ninety-eight million, three hundred eighty-two thousand, one hundred ninety-two".