205135471416 has 64 divisors (see below), whose sum is σ = 514382400000. Its totient is φ = 68172870656.

The previous prime is 205135471369. The next prime is 205135471427. The reversal of 205135471416 is 614174531502.

205135471416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18990385 + ... + 19001183.

It is an arithmetic number, because the mean of its divisors is an integer number (8037225000).

Almost surely, 2^205135471416 is an apocalyptic number.

It is an amenable number.

205135471416 is an abundant number, since it is smaller than the sum of its proper divisors (309246928584).

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

205135471416 is a wasteful number, since it uses less digits than its factorization.

205135471416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116 (or 13112 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 205135471416 in words is "two hundred five billion, one hundred thirty-five million, four hundred seventy-one thousand, four hundred sixteen".