21845874329664 has 448 divisors, whose sum is σ = 75888157900800. Its totient is φ = 5373315532800.

The previous prime is 21845874329579. The next prime is 21845874329707. The reversal of 21845874329664 is 46692347854812.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 713179629 + ... + 713210259.

It is an arithmetic number, because the mean of its divisors is an integer number (169393209600).

Almost surely, 2^{21845874329664} is an apocalyptic number.

21845874329664 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 21845874329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944078950400).

21845874329664 is an abundant number, since it is smaller than the sum of its proper divisors (54042283571136).

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

21845874329664 is a wasteful number, since it uses less digits than its factorization.

21845874329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33222 (or 33212 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 69.

The spelling of 21845874329664 in words is "twenty-one trillion, eight hundred forty-five billion, eight hundred seventy-four million, three hundred twenty-nine thousand, six hundred sixty-four".