266681068416 has 768 divisors, whose sum is σ = 955933228800. Its totient is φ = 72912752640.

The previous prime is 266681068369. The next prime is 266681068417. The reversal of 266681068416 is 614860186662.

266681068416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×266681068416² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (266681068417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385934631 + ... + 385935321.

It is an arithmetic number, because the mean of its divisors is an integer number (1244704725).

Almost surely, 2^266681068416 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 266681068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477966614400).

266681068416 is an abundant number, since it is smaller than the sum of its proper divisors (689252160384).

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

266681068416 is a wasteful number, since it uses less digits than its factorization.

266681068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 266681068416 in words is "two hundred sixty-six billion, six hundred eighty-one million, sixty-eight thousand, four hundred sixteen".