13345163328000 has 480 divisors, whose sum is σ = 51613340695488. Its totient is φ = 3050320896000.

The previous prime is 13345163327987. The next prime is 13345163328001. The reversal of 13345163328000 is 82336154331.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 13345163328000.

It is not an unprimeable number, because it can be changed into a prime (13345163328001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8698755 + ... + 10117245.

Almost surely, 2^{13345163328000} is an apocalyptic number.

13345163328000 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 13345163328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25806670347744).

13345163328000 is an abundant number, since it is smaller than the sum of its proper divisors (38268177367488).

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

13345163328000 is an equidigital number, since it uses as much as digits as its factorization.

13345163328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418541 (or 1418508 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 13345163328000 in words is "thirteen trillion, three hundred forty-five billion, one hundred sixty-three million, three hundred twenty-eight thousand".