273311475264 has 315 divisors, whose sum is σ = 831827096947. Its totient is φ = 88732440576.

The previous prime is 273311475257. The next prime is 273311475287. The reversal of 273311475264 is 462574113372.

It is a happy number.

The square root of 273311475264 is 522792.

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

273311475264 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 114 + 7 + 526 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26501235264 + 246810240000 = 162792^2 + 496800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1994974204 + ... + 1994974340.

Almost surely, 2^273311475264 is an apocalyptic number.

273311475264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

273311475264 is the 522792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273311475264

273311475264 is an abundant number, since it is smaller than the sum of its proper divisors (558515621683).

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

273311475264 is an frugal number, since it uses more digits than its factorization.

273311475264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 195 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 273311475264 in words is "two hundred seventy-three billion, three hundred eleven million, four hundred seventy-five thousand, two hundred sixty-four".