268148288224 has 24 divisors (see below), whose sum is σ = 527980594680. Its totient is φ = 134057978496.

The previous prime is 268148288207. The next prime is 268148288269. The reversal of 268148288224 is 422882841862.

268148288224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268148288224² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 233379 + ... + 768610.

It is an arithmetic number, because the mean of its divisors is an integer number (21999191445).

Almost surely, 2^268148288224 is an apocalyptic number.

It is an amenable number.

268148288224 is a deficient number, since it is larger than the sum of its proper divisors (259832306456).

268148288224 is a wasteful number, since it uses less digits than its factorization.

268148288224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010362 (or 1010354 counting only the distinct ones).

The product of its digits is 6291456, while the sum is 55.

The spelling of 268148288224 in words is "two hundred sixty-eight billion, one hundred forty-eight million, two hundred eighty-eight thousand, two hundred twenty-four".