13575654807429 has 64 divisors (see below), whose sum is σ = 21722483478528. Its totient is φ = 7431583507200.

The previous prime is 13575654807413. The next prime is 13575654807461. The reversal of 13575654807429 is 92470845657531.

It is not a de Polignac number, because 13575654807429 - 2⁴ = 13575654807413 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13575654807429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13575654807479) 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 63 ways as a sum of consecutive naturals, for example, 96974574 + ... + 97114464.

It is an arithmetic number, because the mean of its divisors is an integer number (339413804352).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13575654807429 = 27151309614858, but 3⋅13575654807429 = 40726964422287 is not.

Almost surely, 2^{13575654807429} is an apocalyptic number.

It is an amenable number.

13575654807429 is a deficient number, since it is larger than the sum of its proper divisors (8146828671099).

13575654807429 is a wasteful number, since it uses less digits than its factorization.

13575654807429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144778.

The product of its (nonzero) digits is 254016000, while the sum is 66.

The spelling of 13575654807429 in words is "thirteen trillion, five hundred seventy-five billion, six hundred fifty-four million, eight hundred seven thousand, four hundred twenty-nine".