21845114720 has 384 divisors, whose sum is σ = 65922232320. Its totient is φ = 6718464000.

The previous prime is 21845114717. The next prime is 21845114723. The reversal of 21845114720 is 2741154812.

It is an interprime number because it is at equal distance from previous prime (21845114717) and next prime (21845114723).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21845114723) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13475510 + ... + 13477130.

It is an arithmetic number, because the mean of its divisors is an integer number (171672480).

Almost surely, 2^21845114720 is an apocalyptic number.

21845114720 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 21845114720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32961116160).

21845114720 is an abundant number, since it is smaller than the sum of its proper divisors (44077117600).

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

21845114720 is a wasteful number, since it uses less digits than its factorization.

21845114720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The spelling of 21845114720 in words is "twenty-one billion, eight hundred forty-five million, one hundred fourteen thousand, seven hundred twenty".