13845313466560 has 112 divisors (see below), whose sum is σ = 34413209913600. Its totient is φ = 5295702703104.

The previous prime is 13845313466527. The next prime is 13845313466641. The reversal of 13845313466560 is 6566431354831.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23697631 + ... + 24274849.

It is an arithmetic number, because the mean of its divisors is an integer number (307260802800).

Almost surely, 2^{13845313466560} is an apocalyptic number.

13845313466560 is a gapful number since it is divisible by the number (10) 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 13845313466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206604956800).

13845313466560 is an abundant number, since it is smaller than the sum of its proper divisors (20567896447040).

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

13845313466560 is a wasteful number, since it uses less digits than its factorization.

13845313466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580518 (or 580508 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 13845313466560 in words is "thirteen trillion, eight hundred forty-five billion, three hundred thirteen million, four hundred sixty-six thousand, five hundred sixty".