264511014105105 has 256 divisors, whose sum is σ = 523312814868480. Its totient is φ = 126334892851200.

The previous prime is 264511014105103. The next prime is 264511014105181. The reversal of 264511014105105 is 501501410115462.

264511014105105 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 110 + 14 + 10 + 510 + 5 = 666.

It is not a de Polignac number, because 264511014105105 - 2¹ = 264511014105103 is a prime.

It is a super-2 number, since 2×264511014105105² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 264511014105105.

It is not an unprimeable number, because it can be changed into a prime (264511014105101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 343466175 + ... + 344235435.

It is an arithmetic number, because the mean of its divisors is an integer number (2044190683080).

Almost surely, 2^{264511014105105} is an apocalyptic number.

It is an amenable number.

264511014105105 is a deficient number, since it is larger than the sum of its proper divisors (258801800763375).

264511014105105 is a wasteful number, since it uses less digits than its factorization.

264511014105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769449 (or 769443 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 264511014105105 in words is "two hundred sixty-four trillion, five hundred eleven billion, fourteen million, one hundred five thousand, one hundred five".