13584314952 has 160 divisors (see below), whose sum is σ = 41054428800.
Its totient is φ = 4171741056.
The previous prime is 13584314941. The next prime is 13584314957. The reversal of 13584314952 is 25941348531.
13584314952 is a `hidden beast` number, since 1 + 3 + 584 + 3 + 14 + 9 + 52 = 666.
It is a super-2 number, since 2×135843149522 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 13584314898 and 13584314907.
It is not an unprimeable number, because it can be changed into a prime (13584314957) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5550193 + ... + 5552639.
It is an arithmetic number, because the mean of its divisors is an integer number (256590180).
Almost surely, 213584314952 is an apocalyptic number.
13584314952 is a gapful number since it is divisible by the number (12) 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 13584314952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20527214400).
13584314952 is an abundant number, since it is smaller than the sum of its proper divisors (27470113848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13584314952 is a wasteful number, since it uses less digits than its factorization.
13584314952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3137 (or 3124 counting only the distinct ones).
The product of its digits is 518400, while the sum is 45.
The spelling of 13584314952 in words is "thirteen billion, five hundred eighty-four million, three hundred fourteen thousand, nine hundred fifty-two".