13460455406431 has 12 divisors (see below), whose sum is σ = 14795470543392. Its totient is φ = 12236699948000.

The previous prime is 13460455406291. The next prime is 13460455406473.

13460455406431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13460455406431 - 2⁹ = 13460455405919 is a prime.

It is a super-4 number, since 4×13460455406431⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13460455406831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28450971 + ... + 28920211.

It is an arithmetic number, because the mean of its divisors is an integer number (1232955878616).

Almost surely, 2^{13460455406431} is an apocalyptic number.

13460455406431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13460455406431 is a deficient number, since it is larger than the sum of its proper divisors (1335015136961).

13460455406431 is a wasteful number, since it uses less digits than its factorization.

13460455406431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706334 (or 706323 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 13460455406431 in words is "thirteen trillion, four hundred sixty billion, four hundred fifty-five million, four hundred six thousand, four hundred thirty-one".