264865990287616 has 81 divisors (see below), whose sum is σ = 541928762694823. Its totient is φ = 129197714186240.

The previous prime is 264865990287601. The next prime is 264865990287677. The reversal of 264865990287616 is 616782099568462.

The square root of 264865990287616 is 16274704.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4877454582016 + 259988535705600 = 2208496^2 + 16124160^2 .

It is a super-2 number, since 2×264865990287616² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10676193420 + ... + 10676218228.

Almost surely, 2^{264865990287616} is an apocalyptic number.

264865990287616 is the 16274704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264865990287616

264865990287616 is an abundant number, since it is smaller than the sum of its proper divisors (277062772407207).

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

264865990287616 is an frugal number, since it uses more digits than its factorization.

264865990287616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49716 (or 24852 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 79.

The spelling of 264865990287616 in words is "two hundred sixty-four trillion, eight hundred sixty-five billion, nine hundred ninety million, two hundred eighty-seven thousand, six hundred sixteen".