268940774025 has 243 divisors, whose sum is σ = 617294698293. Its totient is φ = 111518668800.

The previous prime is 268940773999. The next prime is 268940774143. The reversal of 268940774025 is 520477049862.

The square root of 268940774025 is 518595.

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 239537529 + 268701236496 = 15477^2 + 518364^2 .

It is not a de Polignac number, because 268940774025 - 2¹¹ = 268940771977 is a prime.

It is a super-2 number, since 2×268940774025² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 598977001 + ... + 598977449.

Almost surely, 2^268940774025 is an apocalyptic number.

268940774025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268940774025 is the 518595-th square number.

268940774025 is the 259298-th centered octagonal number.

It is an amenable number.

268940774025 is an abundant number, since it is smaller than the sum of its proper divisors (348353924268).

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

268940774025 is a wasteful number, since it uses less digits than its factorization.

268940774025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 268940774025 in words is "two hundred sixty-eight billion, nine hundred forty million, seven hundred seventy-four thousand, twenty-five".