13413049939968 has 192 divisors, whose sum is σ = 40890543482880. Its totient is φ = 3830175399936.

The previous prime is 13413049939879. The next prime is 13413049939987. The reversal of 13413049939968 is 86993994031431.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78318046 + ... + 78489122.

It is an arithmetic number, because the mean of its divisors is an integer number (212971580640).

Almost surely, 2^{13413049939968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13413049939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20445271741440).

13413049939968 is an abundant number, since it is smaller than the sum of its proper divisors (27477493542912).

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

13413049939968 is a wasteful number, since it uses less digits than its factorization.

13413049939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172932 (or 172912 counting only the distinct ones).

The product of its (nonzero) digits is 136048896, while the sum is 69.

The spelling of 13413049939968 in words is "thirteen trillion, four hundred thirteen billion, forty-nine million, nine hundred thirty-nine thousand, nine hundred sixty-eight".