65335449664 has 63 divisors (see below), whose sum is σ = 131489405677. Its totient is φ = 32210697728.

The previous prime is 65335449643. The next prime is 65335449679. The reversal of 65335449664 is 46694453356.

The square root of 65335449664 is 255608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12545792064 + 52789657600 = 112008^2 + 229760^2 .

It is a Duffinian number.

Its product of digits (27993600) is a multiple of the sum of its prime divisors (450).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 181992717 + ... + 181993075.

Almost surely, 2^65335449664 is an apocalyptic number.

65335449664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

65335449664 is the 255608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65335449664

65335449664 is an abundant number, since it is smaller than the sum of its proper divisors (66153956013).

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

65335449664 is an frugal number, since it uses more digits than its factorization.

65335449664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 450 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 55.

The spelling of 65335449664 in words is "sixty-five billion, three hundred thirty-five million, four hundred forty-nine thousand, six hundred sixty-four".