13416544561431 has 16 divisors (see below), whose sum is σ = 19546500551040. Its totient is φ = 8118103026720.

The previous prime is 13416544561393. The next prime is 13416544561439.

It is a happy number.

13416544561431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13416544561431 - 2⁶ = 13416544561367 is a prime.

It is a super-2 number, since 2×13416544561431² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416544561439) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 328381800 + ... + 328422653.

It is an arithmetic number, because the mean of its divisors is an integer number (1221656284440).

Almost surely, 2^{13416544561431} is an apocalyptic number.

13416544561431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13416544561431 is a deficient number, since it is larger than the sum of its proper divisors (6129955989609).

13416544561431 is a wasteful number, since it uses less digits than its factorization.

13416544561431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656805086.

The product of its digits is 2073600, while the sum is 48.

The spelling of 13416544561431 in words is "thirteen trillion, four hundred sixteen billion, five hundred forty-four million, five hundred sixty-one thousand, four hundred thirty-one".