13528354464 has 144 divisors (see below), whose sum is σ = 40691458080. Its totient is φ = 4251502080.

The previous prime is 13528354459. The next prime is 13528354561. The reversal of 13528354464 is 46445382531.

13528354464 is a `hidden beast` number, since 13 + 52 + 83 + 54 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1148734 + ... + 1160450.

It is an arithmetic number, because the mean of its divisors is an integer number (282579570).

Almost surely, 2^13528354464 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 13528354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20345729040).

13528354464 is an abundant number, since it is smaller than the sum of its proper divisors (27163103616).

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

13528354464 is a wasteful number, since it uses less digits than its factorization.

13528354464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11963 (or 11952 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 13528354464 in words is "thirteen billion, five hundred twenty-eight million, three hundred fifty-four thousand, four hundred sixty-four".