21845486208 has 384 divisors, whose sum is σ = 75619699200. Its totient is φ = 5456056320.

The previous prime is 21845486203. The next prime is 21845486219. The reversal of 21845486208 is 80268454812.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21845486203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8629903 + ... + 8632433.

It is an arithmetic number, because the mean of its divisors is an integer number (196926300).

Almost surely, 2^21845486208 is an apocalyptic number.

21845486208 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 21845486208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37809849600).

21845486208 is an abundant number, since it is smaller than the sum of its proper divisors (53774212992).

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

21845486208 is a wasteful number, since it uses less digits than its factorization.

21845486208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2600 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 21845486208 in words is "twenty-one billion, eight hundred forty-five million, four hundred eighty-six thousand, two hundred eight".