21916226304 has 216 divisors, whose sum is σ = 72362358432. Its totient is φ = 6249185280.

The previous prime is 21916226279. The next prime is 21916226323. The reversal of 21916226304 is 40362261912.

It is a happy number.

21916226304 is a `hidden beast` number, since 2 + 1 + 9 + 16 + 2 + 2 + 630 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10530544 + ... + 10532624.

Almost surely, 2^21916226304 is an apocalyptic number.

21916226304 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 21916226304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36181179216).

21916226304 is an abundant number, since it is smaller than the sum of its proper divisors (50446132128).

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

21916226304 is a wasteful number, since it uses less digits than its factorization.

21916226304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2763 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21916226304 in words is "twenty-one billion, nine hundred sixteen million, two hundred twenty-six thousand, three hundred four".