65700985106965 has 48 divisors (see below), whose sum is σ = 88320381851520. Its totient is φ = 46842452616960.

The previous prime is 65700985106851. The next prime is 65700985106989. The reversal of 65700985106965 is 56960158900756.

65700985106965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 65700985106965 - 2⁷ = 65700985106837 is a prime.

It is a super-3 number, since 3×65700985106965³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 65700985106965.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 678519544 + ... + 678616366.

It is an arithmetic number, because the mean of its divisors is an integer number (1840007955240).

Almost surely, 2^{65700985106965} is an apocalyptic number.

65700985106965 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

65700985106965 is the 4679779-th octagonal number.

It is an amenable number.

65700985106965 is a deficient number, since it is larger than the sum of its proper divisors (22619396744555).

65700985106965 is a wasteful number, since it uses less digits than its factorization.

65700985106965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124574 (or 124561 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 67.

The spelling of 65700985106965 in words is "sixty-five trillion, seven hundred billion, nine hundred eighty-five million, one hundred six thousand, nine hundred sixty-five".