13634336066553 has 12 divisors (see below), whose sum is σ = 19794010738788. Its totient is φ = 9043417491360.

The previous prime is 13634336066543. The next prime is 13634336066567. The reversal of 13634336066553 is 35566063343631.

13634336066553 is a `hidden beast` number, since 13 + 6 + 3 + 43 + 36 + 0 + 6 + 6 + 553 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13491715033449 + 142621033104 = 3673107^2 + 377652^2 .

It is not a de Polignac number, because 13634336066553 - 2⁴ = 13634336066537 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13634336066553.

It is not an unprimeable number, because it can be changed into a prime (13634336066543) 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, 3844988658 + ... + 3844992203.

It is an arithmetic number, because the mean of its divisors is an integer number (1649500894899).

Almost surely, 2^{13634336066553} is an apocalyptic number.

It is an amenable number.

13634336066553 is a deficient number, since it is larger than the sum of its proper divisors (6159674672235).

13634336066553 is a wasteful number, since it uses less digits than its factorization.

13634336066553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689981064 (or 7689981061 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 54.

The spelling of 13634336066553 in words is "thirteen trillion, six hundred thirty-four billion, three hundred thirty-six million, sixty-six thousand, five hundred fifty-three".