13465340928 has 264 divisors, whose sum is σ = 42185034528. Its totient is φ = 4112252928.

The previous prime is 13465340927. The next prime is 13465340957. The reversal of 13465340928 is 82904356431.

It is not an unprimeable number, because it can be changed into a prime (13465340923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20007600 + ... + 20008272.

Almost surely, 2^13465340928 is an apocalyptic number.

13465340928 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 13465340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21092517264).

13465340928 is an abundant number, since it is smaller than the sum of its proper divisors (28719693600).

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

13465340928 is a wasteful number, since it uses less digits than its factorization.

13465340928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 13465340928 in words is "thirteen billion, four hundred sixty-five million, three hundred forty thousand, nine hundred twenty-eight".