12735414017 has 16 divisors (see below), whose sum is σ = 14243277312. Its totient is φ = 11329839360.

The previous prime is 12735414007. The next prime is 12735414037. The reversal of 12735414017 is 71041453721.

It is a cyclic number.

It is not a de Polignac number, because 12735414017 - 2⁶ = 12735413953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12735414007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258338 + ... + 303659.

It is an arithmetic number, because the mean of its divisors is an integer number (890204832).

Almost surely, 2^12735414017 is an apocalyptic number.

12735414017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12735414017 is a deficient number, since it is larger than the sum of its proper divisors (1507863295).

12735414017 is a wasteful number, since it uses less digits than its factorization.

12735414017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562088.

The product of its (nonzero) digits is 23520, while the sum is 35.

Adding to 12735414017 its reverse (71041453721), we get a palindrome (83776867738).

The spelling of 12735414017 in words is "twelve billion, seven hundred thirty-five million, four hundred fourteen thousand, seventeen".