13434345301653 has 24 divisors (see below), whose sum is σ = 19475126350680. Its totient is φ = 8923943508480.

The previous prime is 13434345301613. The next prime is 13434345301679. The reversal of 13434345301653 is 35610354343431.

13434345301653 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 434 + 53 + 0 + 165 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3335945172849 + 10098400128804 = 1826457^2 + 3177798^2 .

It is not a de Polignac number, because 13434345301653 - 2⁶ = 13434345301589 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13434345301599 and 13434345301608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434345301613) 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 23 ways as a sum of consecutive naturals, for example, 60253425 + ... + 60475977.

It is an arithmetic number, because the mean of its divisors is an integer number (811463597945).

Almost surely, 2^{13434345301653} is an apocalyptic number.

It is an amenable number.

13434345301653 is a deficient number, since it is larger than the sum of its proper divisors (6040781049027).

13434345301653 is a wasteful number, since it uses less digits than its factorization.

13434345301653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246709 (or 246706 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 13434345301653 in words is "thirteen trillion, four hundred thirty-four billion, three hundred forty-five million, three hundred one thousand, six hundred fifty-three".