65481069065664 has 448 divisors, whose sum is σ = 211751368012800. Its totient is φ = 17461437235200.

The previous prime is 65481069065651. The next prime is 65481069065677. The reversal of 65481069065664 is 46656096018456.

It is an interprime number because it is at equal distance from previous prime (65481069065651) and next prime (65481069065677).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 65481069065595 and 65481069065604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173995779 + ... + 174371709.

It is an arithmetic number, because the mean of its divisors is an integer number (472659303600).

Almost surely, 2^{65481069065664} is an apocalyptic number.

65481069065664 is a gapful number since it is divisible by the number (64) 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 65481069065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105875684006400).

65481069065664 is an abundant number, since it is smaller than the sum of its proper divisors (146270298947136).

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

65481069065664 is a wasteful number, since it uses less digits than its factorization.

65481069065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376132 (or 376122 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 65481069065664 in words is "sixty-five trillion, four hundred eighty-one billion, sixty-nine million, sixty-five thousand, six hundred sixty-four".