13216783696704 has 336 divisors, whose sum is σ = 47321037444096. Its totient is φ = 3439444377600.

The previous prime is 13216783696693. The next prime is 13216783696709. The reversal of 13216783696704 is 40769638761231.

It is a happy number.

13216783696704 is a `hidden beast` number, since 132 + 1 + 6 + 78 + 369 + 6 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13216783696709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985167 + ... + 5234894.

Almost surely, 2^{13216783696704} is an apocalyptic number.

13216783696704 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 13216783696704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23660518722048).

13216783696704 is an abundant number, since it is smaller than the sum of its proper divisors (34104253747392).

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

13216783696704 is a wasteful number, since it uses less digits than its factorization.

13216783696704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6220134 (or 6220121 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 13216783696704 in words is "thirteen trillion, two hundred sixteen billion, seven hundred eighty-three million, six hundred ninety-six thousand, seven hundred four".