664306051013514 has 192 divisors, whose sum is σ = 1778216516294400. Its totient is φ = 174536804699136.

The previous prime is 664306051013513. The next prime is 664306051013569. The reversal of 664306051013514 is 415310150603466.

664306051013514 is a `hidden beast` number, since 6 + 6 + 4 + 3 + 0 + 605 + 1 + 0 + 1 + 35 + 1 + 4 = 666.

664306051013514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×664306051013514² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 664306051013514.

It is not an unprimeable number, because it can be changed into a prime (664306051013513) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 485919702 + ... + 487284894.

It is an arithmetic number, because the mean of its divisors is an integer number (9261544355700).

Almost surely, 2^{664306051013514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664306051013514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889108258147200).

664306051013514 is an abundant number, since it is smaller than the sum of its proper divisors (1113910465280886).

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

664306051013514 is a wasteful number, since it uses less digits than its factorization.

664306051013514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366349 (or 1366346 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 664306051013514 in words is "six hundred sixty-four trillion, three hundred six billion, fifty-one million, thirteen thousand, five hundred fourteen".