13148018928 has 160 divisors (see below), whose sum is σ = 41231289600. Its totient is φ = 3978374400.

The previous prime is 13148018903. The next prime is 13148018929. The reversal of 13148018928 is 82981084131.

13148018928 is a `hidden beast` number, since 131 + 480 + 18 + 9 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13148018929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4080358 + ... + 4083578.

It is an arithmetic number, because the mean of its divisors is an integer number (257695560).

Almost surely, 2^13148018928 is an apocalyptic number.

13148018928 is a gapful number since it is divisible by the number (18) 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 13148018928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615644800).

13148018928 is an abundant number, since it is smaller than the sum of its proper divisors (28083270672).

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

13148018928 is a wasteful number, since it uses less digits than its factorization.

13148018928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 13148018928 in words is "thirteen billion, one hundred forty-eight million, eighteen thousand, nine hundred twenty-eight".