13003674144 has 96 divisors (see below), whose sum is σ = 35096374656. Its totient is φ = 4213217280.

The previous prime is 13003674139. The next prime is 13003674181. The reversal of 13003674144 is 44147630031.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1084309 + ... + 1096235.

It is an arithmetic number, because the mean of its divisors is an integer number (365587236).

Almost surely, 2^13003674144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003674144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17548187328).

13003674144 is an abundant number, since it is smaller than the sum of its proper divisors (22092700512).

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

13003674144 is a wasteful number, since it uses less digits than its factorization.

13003674144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12258 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 13003674144 in words is "thirteen billion, three million, six hundred seventy-four thousand, one hundred forty-four".