266151416832 has 792 divisors, whose sum is σ = 973184068584. Its totient is φ = 69561483264.

The previous prime is 266151416809. The next prime is 266151416837. The reversal of 266151416832 is 238614151662.

266151416832 is a `hidden beast` number, since 2 + 6 + 6 + 151 + 416 + 83 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59177373696 + 206974043136 = 243264^2 + 454944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266151416837) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 284045868 + ... + 284046804.

Almost surely, 2^266151416832 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 266151416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486592034292).

266151416832 is an abundant number, since it is smaller than the sum of its proper divisors (707032651752).

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

266151416832 is a wasteful number, since it uses less digits than its factorization.

266151416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1003 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 266151416832 in words is "two hundred sixty-six billion, one hundred fifty-one million, four hundred sixteen thousand, eight hundred thirty-two".