13584648348 has 60 divisors (see below), whose sum is σ = 37382073960. Its totient is φ = 4289887008.

The previous prime is 13584648313. The next prime is 13584648359. The reversal of 13584648348 is 84384648531.

It is a happy number.

13584648348 is a `hidden beast` number, since 13 + 58 + 464 + 83 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13584648294 and 13584648303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1097211 + ... + 1109522.

It is an arithmetic number, because the mean of its divisors is an integer number (623034566).

Almost surely, 2^13584648348 is an apocalyptic number.

13584648348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13584648348 is an abundant number, since it is smaller than the sum of its proper divisors (23797425612).

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

13584648348 is a wasteful number, since it uses less digits than its factorization.

13584648348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206768 (or 2206757 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 54.

The spelling of 13584648348 in words is "thirteen billion, five hundred eighty-four million, six hundred forty-eight thousand, three hundred forty-eight".