64584338013 has 32 divisors (see below), whose sum is σ = 105825440000. Its totient is φ = 38670032448.

The previous prime is 64584338011. The next prime is 64584338041. The reversal of 64584338013 is 31083348546.

64584338013 is a `hidden beast` number, since 64 + 584 + 3 + 3 + 8 + 0 + 1 + 3 = 666.

64584338013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64584338013 - 2¹ = 64584338011 is a prime.

It is a super-2 number, since 2×64584338013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 64584338013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64584338011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2473513 + ... + 2499486.

It is an arithmetic number, because the mean of its divisors is an integer number (3307045000).

Almost surely, 2^64584338013 is an apocalyptic number.

It is an amenable number.

64584338013 is a deficient number, since it is larger than the sum of its proper divisors (41241101987).

64584338013 is a wasteful number, since it uses less digits than its factorization.

64584338013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973058 (or 4973052 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 64584338013 in words is "sixty-four billion, five hundred eighty-four million, three hundred thirty-eight thousand, thirteen".