13345084000 has 48 divisors (see below), whose sum is σ = 32788881216. Its totient is φ = 5338032000.

The previous prime is 13345083953. The next prime is 13345084007. The reversal of 13345084000 is 48054331.

13345084000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13345084000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345084007) 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 7 ways as a sum of consecutive naturals, for example, 1664136 + ... + 1672135.

It is an arithmetic number, because the mean of its divisors is an integer number (683101692).

Almost surely, 2^13345084000 is an apocalyptic number.

13345084000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13345084000 is an abundant number, since it is smaller than the sum of its proper divisors (19443797216).

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

13345084000 is an equidigital number, since it uses as much as digits as its factorization.

13345084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336296 (or 3336278 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 13345084000 in words is "thirteen billion, three hundred forty-five million, eighty-four thousand".