64221341184 has 1800 divisors, whose sum is σ = 278894982168. Its totient is φ = 14491975680.

The previous prime is 64221341161. The next prime is 64221341213. The reversal of 64221341184 is 48114312246.

64221341184 is a `hidden beast` number, since 6 + 422 + 13 + 41 + 184 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 3777725944 + ... + 3777725960.

Almost surely, 2^64221341184 is an apocalyptic number.

64221341184 is a gapful number since it is divisible by the number (64) 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 64221341184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139447491084).

64221341184 is an abundant number, since it is smaller than the sum of its proper divisors (214673640984).

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

64221341184 is a wasteful number, since it uses less digits than its factorization.

64221341184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 64221341184 in words is "sixty-four billion, two hundred twenty-one million, three hundred forty-one thousand, one hundred eighty-four".