71664805314 has 48 divisors (see below), whose sum is σ = 160797067704. Its totient is φ = 23053305600.

The previous prime is 71664805313. The next prime is 71664805363. The reversal of 71664805314 is 41350846617.

71664805314 is a `hidden beast` number, since 7 + 166 + 480 + 5 + 3 + 1 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68138227089 + 3526578225 = 261033^2 + 59385^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 71664805314.

It is not an unprimeable number, because it can be changed into a prime (71664805313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 557547 + ... + 673934.

Almost surely, 2^71664805314 is an apocalyptic number.

71664805314 is an abundant number, since it is smaller than the sum of its proper divisors (89132262390).

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

71664805314 is a wasteful number, since it uses less digits than its factorization.

71664805314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231603 (or 1231600 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 71664805314 in words is "seventy-one billion, six hundred sixty-four million, eight hundred five thousand, three hundred fourteen".