66317313888 has 288 divisors, whose sum is σ = 229595917824. Its totient is φ = 17724911616.

The previous prime is 66317313877. The next prime is 66317313893. The reversal of 66317313888 is 88831371366.

66317313888 is a `hidden beast` number, since 6 + 6 + 317 + 313 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×66317313888² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5717631 + ... + 5729217.

It is an arithmetic number, because the mean of its divisors is an integer number (797208048).

Almost surely, 2^66317313888 is an apocalyptic number.

66317313888 is a gapful number since it is divisible by the number (68) 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 66317313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114797958912).

66317313888 is an abundant number, since it is smaller than the sum of its proper divisors (163278603936).

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

66317313888 is a wasteful number, since it uses less digits than its factorization.

66317313888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11794 (or 11783 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The spelling of 66317313888 in words is "sixty-six billion, three hundred seventeen million, three hundred thirteen thousand, eight hundred eighty-eight".