309349540864 has 297 divisors, whose sum is σ = 783051320961. Its totient is φ = 121739304960.

The previous prime is 309349540849. The next prime is 309349540901. The reversal of 309349540864 is 468045943903.

The square root of 309349540864 is 556192.

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., 45761766400 + 263587774464 = 213920^2 + 513408^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1619631009 + ... + 1619631199.

Almost surely, 2^309349540864 is an apocalyptic number.

309349540864 is the 556192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309349540864

309349540864 is an abundant number, since it is smaller than the sum of its proper divisors (473701780097).

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

309349540864 is an equidigital number, since it uses as much as digits as its factorization.

309349540864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 55.

The spelling of 309349540864 in words is "three hundred nine billion, three hundred forty-nine million, five hundred forty thousand, eight hundred sixty-four".