13645355354631 has 256 divisors, whose sum is σ = 28469052702720. Its totient is φ = 6230906933760.

The previous prime is 13645355354621. The next prime is 13645355354693.

13645355354631 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 5 + 3 + 553 + 54 + 6 + 31 = 666.

13645355354631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13645355354631 - 2¹⁹ = 13645354830343 is a prime.

It is a super-2 number, since 2×13645355354631² (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 (13645355354621) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 46854790 + ... + 47145116.

It is an arithmetic number, because the mean of its divisors is an integer number (111207237120).

Almost surely, 2^{13645355354631} is an apocalyptic number.

13645355354631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13645355354631 is an abundant number, since it is smaller than the sum of its proper divisors (14823697348089).

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

13645355354631 is a wasteful number, since it uses less digits than its factorization.

13645355354631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290451 (or 290445 counting only the distinct ones).

The product of its digits is 29160000, while the sum is 54.

It can be divided in two parts, 13645355 and 354631, that added together give a triangular number (13999986 = T₅₂₉₁).

The spelling of 13645355354631 in words is "thirteen trillion, six hundred forty-five billion, three hundred fifty-five million, three hundred fifty-four thousand, six hundred thirty-one".