66382231104 has 224 divisors, whose sum is σ = 223643383040. Its totient is φ = 18914217984.

The previous prime is 66382231093. The next prime is 66382231109. The reversal of 66382231104 is 40113228366.

66382231104 is a `hidden beast` number, since 6 + 638 + 2 + 2 + 3 + 1 + 10 + 4 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (66382231109) 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 31 ways as a sum of consecutive naturals, for example, 4504452 + ... + 4519164.

It is an arithmetic number, because the mean of its divisors is an integer number (998407960).

Almost surely, 2^66382231104 is an apocalyptic number.

66382231104 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 66382231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111821691520).

66382231104 is an abundant number, since it is smaller than the sum of its proper divisors (157261151936).

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

66382231104 is a wasteful number, since it uses less digits than its factorization.

66382231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15114 (or 15098 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 66382231104 in words is "sixty-six billion, three hundred eighty-two million, two hundred thirty-one thousand, one hundred four".