13381346434764 has 192 divisors, whose sum is σ = 39770615808000. Its totient is φ = 3400456101120.

The previous prime is 13381346434759. The next prime is 13381346434777. The reversal of 13381346434764 is 46743464318331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119327529 + ... + 119439615.

It is an arithmetic number, because the mean of its divisors is an integer number (207138624000).

Almost surely, 2^{13381346434764} is an apocalyptic number.

13381346434764 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 13381346434764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19885307904000).

13381346434764 is an abundant number, since it is smaller than the sum of its proper divisors (26389269373236).

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

13381346434764 is a wasteful number, since it uses less digits than its factorization.

13381346434764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114908 (or 114906 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 57.

The spelling of 13381346434764 in words is "thirteen trillion, three hundred eighty-one billion, three hundred forty-six million, four hundred thirty-four thousand, seven hundred sixty-four".