275948494864 has 135 divisors (see below), whose sum is σ = 633039626007. Its totient is φ = 116189724672.

The previous prime is 275948494853. The next prime is 275948494879. The reversal of 275948494864 is 468494849572.

The square root of 275948494864 is 525308.

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 122284494864 + 153664000000 = 349692^2 + 392000^2 .

It is a super-2 number, since 2×275948494864² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (70) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 275948494793 and 275948494802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1073729424 + ... + 1073729680.

Almost surely, 2^275948494864 is an apocalyptic number.

275948494864 is the 525308-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275948494864

275948494864 is an abundant number, since it is smaller than the sum of its proper divisors (357091131143).

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

275948494864 is an frugal number, since it uses more digits than its factorization.

275948494864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 339 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 70.

The spelling of 275948494864 in words is "two hundred seventy-five billion, nine hundred forty-eight million, four hundred ninety-four thousand, eight hundred sixty-four".