13438098816 has 64 divisors (see below), whose sum is σ = 35763994800. Its totient is φ = 4470702080.

The previous prime is 13438098781. The next prime is 13438098853. The reversal of 13438098816 is 61889083431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166480 + ... + 233648.

Almost surely, 2^13438098816 is an apocalyptic number.

13438098816 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 13438098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17881997400).

13438098816 is an abundant number, since it is smaller than the sum of its proper divisors (22325895984).

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

13438098816 is an equidigital number, since it uses as much as digits as its factorization.

13438098816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67707 (or 67695 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 13438098816 in words is "thirteen billion, four hundred thirty-eight million, ninety-eight thousand, eight hundred sixteen".