13482116064 has 192 divisors, whose sum is σ = 41548550400. Its totient is φ = 4241465856.

The previous prime is 13482116041. The next prime is 13482116077. The reversal of 13482116064 is 46061128431.

13482116064 is a `hidden beast` number, since 1 + 3 + 48 + 2 + 1 + 1 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4808487 + ... + 4811289.

It is an arithmetic number, because the mean of its divisors is an integer number (216398700).

Almost surely, 2^13482116064 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 13482116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774275200).

13482116064 is an abundant number, since it is smaller than the sum of its proper divisors (28066434336).

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

13482116064 is a wasteful number, since it uses less digits than its factorization.

13482116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3120 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13482116064 in words is "thirteen billion, four hundred eighty-two million, one hundred sixteen thousand, sixty-four".