266225094144 has 320 divisors, whose sum is σ = 800116289280. Its totient is φ = 87393116160.

The previous prime is 266225094131. The next prime is 266225094151. The reversal of 266225094144 is 441490522662.

It is a happy number.

266225094144 is a `hidden beast` number, since 2 + 6 + 6 + 225 + 0 + 9 + 414 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 266225094144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312104022 + ... + 312104874.

It is an arithmetic number, because the mean of its divisors is an integer number (2500363404).

Almost surely, 2^266225094144 is an apocalyptic number.

266225094144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266225094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400058144640).

266225094144 is an abundant number, since it is smaller than the sum of its proper divisors (533891195136).

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

266225094144 is a wasteful number, since it uses less digits than its factorization.

266225094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 266225094144 in words is "two hundred sixty-six billion, two hundred twenty-five million, ninety-four thousand, one hundred forty-four".