305413555430664 has 96 divisors (see below), whose sum is σ = 840780537743640. Its totient is φ = 100128588825600.

The previous prime is 305413555430653. The next prime is 305413555430681. The reversal of 305413555430664 is 466034555314503.

305413555430664 is a `hidden beast` number, since 3 + 0 + 5 + 4 + 1 + 35 + 5 + 543 + 0 + 6 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118978835538564 + 186434719892100 = 10907742^2 + 13654110^2 .

It is a super-2 number, since 2×305413555430664² (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 305413555430664.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60561204 + ... + 65410140.

Almost surely, 2^{305413555430664} is an apocalyptic number.

It is an amenable number.

305413555430664 is an abundant number, since it is smaller than the sum of its proper divisors (535366982312976).

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

305413555430664 is a wasteful number, since it uses less digits than its factorization.

305413555430664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4863351 (or 4863344 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 54.

The spelling of 305413555430664 in words is "three hundred five trillion, four hundred thirteen billion, five hundred fifty-five million, four hundred thirty thousand, six hundred sixty-four".