266144256 has 240 divisors, whose sum is σ = 905608704. Its totient is φ = 73654272.

The previous prime is 266144251. The next prime is 266144287. The reversal of 266144256 is 652441662.

266144256 is a `hidden beast` number, since 266 + 144 + 256 = 666.

266144256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 266144256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266144251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193361 + ... + 1193583.

Almost surely, 2^266144256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452804352).

266144256 is an abundant number, since it is smaller than the sum of its proper divisors (639464448).

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

266144256 is a wasteful number, since it uses less digits than its factorization.

266144256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 272 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 266144256 is about 16313.9282822991. The cubic root of 266144256 is about 643.2389966703.

The spelling of 266144256 in words is "two hundred sixty-six million, one hundred forty-four thousand, two hundred fifty-six".