13514785133696 has 384 divisors, whose sum is σ = 34480322352000. Its totient is φ = 5217420902400.

The previous prime is 13514785133683. The next prime is 13514785133819. The reversal of 13514785133696 is 69633158741531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4021059056 + ... + 4021062416.

It is an arithmetic number, because the mean of its divisors is an integer number (89792506125).

Almost surely, 2^{13514785133696} is an apocalyptic number.

13514785133696 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 13514785133696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240161176000).

13514785133696 is an abundant number, since it is smaller than the sum of its proper divisors (20965537218304).

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

13514785133696 is a wasteful number, since it uses less digits than its factorization.

13514785133696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3897 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 62.

The spelling of 13514785133696 in words is "thirteen trillion, five hundred fourteen billion, seven hundred eighty-five million, one hundred thirty-three thousand, six hundred ninety-six".