21869184064 has 224 divisors, whose sum is σ = 56931275520. Its totient is φ = 8136400896.

The previous prime is 21869184061. The next prime is 21869184101. The reversal of 21869184064 is 46048196812.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×21869184064² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21869183999 and 21869184017.

It is not an unprimeable number, because it can be changed into a prime (21869184061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16731699 + ... + 16733005.

It is an arithmetic number, because the mean of its divisors is an integer number (254157480).

Almost surely, 2^21869184064 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 21869184064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28465637760).

21869184064 is an abundant number, since it is smaller than the sum of its proper divisors (35062091456).

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

21869184064 is a wasteful number, since it uses less digits than its factorization.

21869184064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 49.

The spelling of 21869184064 in words is "twenty-one billion, eight hundred sixty-nine million, one hundred eighty-four thousand, sixty-four".