13429394496 has 168 divisors, whose sum is σ = 45181398080. Its totient is φ = 3733226496.

The previous prime is 13429394423. The next prime is 13429394507. The reversal of 13429394496 is 69449392431.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104175 + ... + 194193.

Almost surely, 2^13429394496 is an apocalyptic number.

13429394496 is a gapful number since it is divisible by the number (16) 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 13429394496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22590699040).

13429394496 is an abundant number, since it is smaller than the sum of its proper divisors (31752003584).

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

13429394496 is a wasteful number, since it uses less digits than its factorization.

13429394496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90081 (or 90068 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 13429394496 in words is "thirteen billion, four hundred twenty-nine million, three hundred ninety-four thousand, four hundred ninety-six".