13454466445431 has 96 divisors (see below), whose sum is σ = 21939677510400. Its totient is φ = 8081695788480.

The previous prime is 13454466445391. The next prime is 13454466445481.

13454466445431 is a `hidden beast` number, since 1 + 3 + 4 + 54 + 4 + 6 + 6 + 44 + 543 + 1 = 666.

13454466445431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13454466445431 - 2¹⁵ = 13454466412663 is a prime.

It is a super-2 number, since 2×13454466445431² (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 (13454466445481) 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 95 ways as a sum of consecutive naturals, for example, 4068479280 + ... + 4068482586.

It is an arithmetic number, because the mean of its divisors is an integer number (228538307400).

Almost surely, 2^{13454466445431} is an apocalyptic number.

13454466445431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13454466445431 is a deficient number, since it is larger than the sum of its proper divisors (8485211064969).

13454466445431 is a wasteful number, since it uses less digits than its factorization.

13454466445431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4169 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 13454466445431 in words is "thirteen trillion, four hundred fifty-four billion, four hundred sixty-six million, four hundred forty-five thousand, four hundred thirty-one".