13003768416 has 48 divisors (see below), whose sum is σ = 35931470400. Its totient is φ = 4106452608.

The previous prime is 13003768411. The next prime is 13003768423. The reversal of 13003768416 is 61486730031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003768411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3562806 + ... + 3566453.

It is an arithmetic number, because the mean of its divisors is an integer number (748572300).

Almost surely, 2^13003768416 is an apocalyptic number.

13003768416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13003768416 is an abundant number, since it is smaller than the sum of its proper divisors (22927701984).

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

13003768416 is a wasteful number, since it uses less digits than its factorization.

13003768416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7129291 (or 7129283 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13003768416 in words is "thirteen billion, three million, seven hundred sixty-eight thousand, four hundred sixteen".