13149345408 has 128 divisors (see below), whose sum is σ = 35557885440. Its totient is φ = 4304563200.

The previous prime is 13149345401. The next prime is 13149345413. The reversal of 13149345408 is 80454394131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13149345408.

It is not an unprimeable number, because it can be changed into a prime (13149345401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8369263 + ... + 8370833.

It is an arithmetic number, because the mean of its divisors is an integer number (277795980).

Almost surely, 2^13149345408 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 13149345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778942720).

13149345408 is an abundant number, since it is smaller than the sum of its proper divisors (22408540032).

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

13149345408 is a wasteful number, since it uses less digits than its factorization.

13149345408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 13149345408 in words is "thirteen billion, one hundred forty-nine million, three hundred forty-five thousand, four hundred eight".