13455648864 has 72 divisors (see below), whose sum is σ = 43730865360. Its totient is φ = 3844470528.

The previous prime is 13455648823. The next prime is 13455648883. The reversal of 13455648864 is 46884655431.

13455648864 is a `hidden beast` number, since 1 + 3 + 4 + 556 + 4 + 8 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 13455648864.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3335199 + ... + 3339230.

It is an arithmetic number, because the mean of its divisors is an integer number (607373130).

Almost surely, 2^13455648864 is an apocalyptic number.

13455648864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13455648864 is an abundant number, since it is smaller than the sum of its proper divisors (30275216496).

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

13455648864 is a wasteful number, since it uses less digits than its factorization.

13455648864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674452 (or 6674441 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 13455648864 in words is "thirteen billion, four hundred fifty-five million, six hundred forty-eight thousand, eight hundred sixty-four".