5182336223064 has 2880 divisors, whose sum is σ = 21698204774400. Its totient is φ = 1140694410240.

The previous prime is 5182336223047. The next prime is 5182336223087. The reversal of 5182336223064 is 4603226332815.

5182336223064 is a `hidden beast` number, since 5 + 1 + 8 + 2 + 336 + 2 + 2 + 306 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 40805796969 + ... + 40805797095.

It is an arithmetic number, because the mean of its divisors is an integer number (7534098880).

Almost surely, 2^{5182336223064} is an apocalyptic number.

5182336223064 is a gapful number since it is divisible by the number (54) 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 5182336223064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849102387200).

5182336223064 is an abundant number, since it is smaller than the sum of its proper divisors (16515868551336).

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

5182336223064 is a wasteful number, since it uses less digits than its factorization.

5182336223064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 5182336223064 in words is "five trillion, one hundred eighty-two billion, three hundred thirty-six million, two hundred twenty-three thousand, sixty-four".