266107412736 has 243 divisors, whose sum is σ = 844208589133. Its totient is φ = 80556072960.

The previous prime is 266107412731. The next prime is 266107412803. The reversal of 266107412736 is 637214701662.

The square root of 266107412736 is 515856.

It is a perfect power (a square), and thus also a powerful number.

266107412736 is a `hidden beast` number, since 2 + 6 + 610 + 7 + 4 + 1 + 27 + 3 + 6 = 666.

266107412736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 248961081600 + 17146331136 = 498960^2 + 130944^2 .

It is a super-2 number, since 2×266107412736² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 266107412691 and 266107412700.

It is not an unprimeable number, because it can be changed into a prime (266107412731) 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 26 ways as a sum of consecutive naturals, for example, 272371480 + ... + 272372456.

Almost surely, 2^266107412736 is an apocalyptic number.

266107412736 is the 515856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266107412736

266107412736 is an abundant number, since it is smaller than the sum of its proper divisors (578101176397).

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

266107412736 is an frugal number, since it uses more digits than its factorization.

266107412736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 266107412736 in words is "two hundred sixty-six billion, one hundred seven million, four hundred twelve thousand, seven hundred thirty-six".