13419399168 has 384 divisors, whose sum is σ = 46707897600. Its totient is φ = 3726508032.

The previous prime is 13419399139. The next prime is 13419399181. The reversal of 13419399168 is 86199391431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 14321196 + ... + 14322132.

It is an arithmetic number, because the mean of its divisors is an integer number (121635150).

Almost surely, 2^13419399168 is an apocalyptic number.

13419399168 is a gapful number since it is divisible by the number (18) 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 13419399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353948800).

13419399168 is an abundant number, since it is smaller than the sum of its proper divisors (33288498432).

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

13419399168 is an equidigital number, since it uses as much as digits as its factorization.

13419399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 986 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 13419399168 in words is "thirteen billion, four hundred nineteen million, three hundred ninety-nine thousand, one hundred sixty-eight".