268144397280256 has 88 divisors (see below), whose sum is σ = 613120945381056. Its totient is φ = 114821717237760.

The previous prime is 268144397280241. The next prime is 268144397280257. The reversal of 268144397280256 is 652082793441862.

It is a happy number.

It is a super-2 number, since 2×268144397280256² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268144397280191 and 268144397280200.

It is not an unprimeable number, because it can be changed into a prime (268144397280257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7372246 + ... + 24303061.

It is a 2-persistent number, because it is pandigital, and so is 2⋅268144397280256 = 536288794560512, but 3⋅268144397280256 = 804433191840768 is not.

Almost surely, 2^{268144397280256} is an apocalyptic number.

It is an amenable number.

268144397280256 is an abundant number, since it is smaller than the sum of its proper divisors (344976548100800).

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

268144397280256 is a wasteful number, since it uses less digits than its factorization.

268144397280256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31676515 (or 31676497 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 67.

The spelling of 268144397280256 in words is "two hundred sixty-eight trillion, one hundred forty-four billion, three hundred ninety-seven million, two hundred eighty thousand, two hundred fifty-six".