266162254900416 has 1344 divisors, whose sum is σ = 990010937180160. Its totient is φ = 68487977226240.

The previous prime is 266162254900387. The next prime is 266162254900433. The reversal of 266162254900416 is 614009452261662.

266162254900416 is a `hidden beast` number, since 2 + 6 + 6 + 1 + 622 + 5 + 4 + 9 + 0 + 0 + 4 + 1 + 6 = 666.

266162254900416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11806858041 + ... + 11806880583.

It is an arithmetic number, because the mean of its divisors is an integer number (736615280640).

Almost surely, 2^{266162254900416} 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 266162254900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495005468590080).

266162254900416 is an abundant number, since it is smaller than the sum of its proper divisors (723848682279744).

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

266162254900416 is a wasteful number, since it uses less digits than its factorization.

266162254900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22699 (or 22646 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 266162254900416 in words is "two hundred sixty-six trillion, one hundred sixty-two billion, two hundred fifty-four million, nine hundred thousand, four hundred sixteen".