52349321664 has 168 divisors, whose sum is σ = 158898579840. Its totient is φ = 16431800832.

The previous prime is 52349321663. The next prime is 52349321699. The reversal of 52349321664 is 46612394325.

52349321664 is a `hidden beast` number, since 523 + 49 + 3 + 21 + 6 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52349321663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1813327 + ... + 1841969.

It is an arithmetic number, because the mean of its divisors is an integer number (945824880).

Almost surely, 2^52349321664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52349321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79449289920).

52349321664 is an abundant number, since it is smaller than the sum of its proper divisors (106549258176).

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

52349321664 is a wasteful number, since it uses less digits than its factorization.

52349321664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28847 (or 28834 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 52349321664 in words is "fifty-two billion, three hundred forty-nine million, three hundred twenty-one thousand, six hundred sixty-four".