13585170368448 has 672 divisors, whose sum is σ = 46874748211200. Its totient is φ = 3679869173760.

The previous prime is 13585170368423. The next prime is 13585170368449. The reversal of 13585170368448 is 84486307158531.

It is a happy number.

13585170368448 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 517 + 0 + 36 + 84 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13585170368449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6472209703 + ... + 6472211801.

It is an arithmetic number, because the mean of its divisors is an integer number (69754089600).

Almost surely, 2^{13585170368448} is an apocalyptic number.

13585170368448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13585170368448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23437374105600).

13585170368448 is an abundant number, since it is smaller than the sum of its proper divisors (33289577842752).

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

13585170368448 is a wasteful number, since it uses less digits than its factorization.

13585170368448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3185 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 13585170368448 in words is "thirteen trillion, five hundred eighty-five billion, one hundred seventy million, three hundred sixty-eight thousand, four hundred forty-eight".