13684112064 has 168 divisors, whose sum is σ = 45026811648. Its totient is φ = 3892262400.

The previous prime is 13684112063. The next prime is 13684112129. The reversal of 13684112064 is 46021148631.

13684112064 is a `hidden beast` number, since 1 + 36 + 8 + 411 + 206 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×13684112064² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13684112063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 907789 + ... + 922739.

It is an arithmetic number, because the mean of its divisors is an integer number (268016736).

Almost surely, 2^13684112064 is an apocalyptic number.

13684112064 is a gapful number since it is divisible by the number (14) 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 13684112064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22513405824).

13684112064 is an abundant number, since it is smaller than the sum of its proper divisors (31342699584).

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

13684112064 is a wasteful number, since it uses less digits than its factorization.

13684112064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15203 (or 15190 counting only the distinct ones).

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

The spelling of 13684112064 in words is "thirteen billion, six hundred eighty-four million, one hundred twelve thousand, sixty-four".