4305363621264 has 120 divisors (see below), whose sum is σ = 12136082350392. Its totient is φ = 1424780513280.

The previous prime is 4305363621257. The next prime is 4305363621311. The reversal of 4305363621264 is 4621263635034.

4305363621264 is a `hidden beast` number, since 4 + 3 + 0 + 5 + 3 + 636 + 2 + 1 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143029188864 + 4162334432400 = 378192^2 + 2040180^2 .

It is a super-2 number, since 2×4305363621264² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15316674 + ... + 15595230.

Almost surely, 2^{4305363621264} 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 4305363621264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068041175196).

4305363621264 is an abundant number, since it is smaller than the sum of its proper divisors (7830718729128).

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

4305363621264 is a wasteful number, since it uses less digits than its factorization.

4305363621264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279345 (or 279336 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 4305363621264 in words is "four trillion, three hundred five billion, three hundred sixty-three million, six hundred twenty-one thousand, two hundred sixty-four".