13169684864 has 128 divisors (see below), whose sum is σ = 31091558400. Its totient is φ = 5437440000.

The previous prime is 13169684861. The next prime is 13169684929. The reversal of 13169684864 is 46848696131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13169684861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6970832 + ... + 6972720.

It is an arithmetic number, because the mean of its divisors is an integer number (242902800).

Almost surely, 2^13169684864 is an apocalyptic number.

13169684864 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 13169684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545779200).

13169684864 is an abundant number, since it is smaller than the sum of its proper divisors (17921873536).

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

13169684864 is a wasteful number, since it uses less digits than its factorization.

13169684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2180 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The spelling of 13169684864 in words is "thirteen billion, one hundred sixty-nine million, six hundred eighty-four thousand, eight hundred sixty-four".