13684124160 has 1440 divisors, whose sum is σ = 62875118592. Its totient is φ = 2724986880.

The previous prime is 13684124147. The next prime is 13684124161. The reversal of 13684124160 is 6142148631.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13684124161) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441423345 + ... + 441423375.

Almost surely, 2^13684124160 is an apocalyptic number.

13684124160 is a gapful number since it is divisible by the number (10) 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 13684124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31437559296).

13684124160 is an abundant number, since it is smaller than the sum of its proper divisors (49190994432).

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

13684124160 is a wasteful number, since it uses less digits than its factorization.

13684124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

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

The spelling of 13684124160 in words is "thirteen billion, six hundred eighty-four million, one hundred twenty-four thousand, one hundred sixty".