13499812706688 has 1536 divisors, whose sum is σ = 51296418201600. Its totient is φ = 3305981952000.

The previous prime is 13499812706687. The next prime is 13499812706729. The reversal of 13499812706688 is 88660721899431.

13499812706688 is a `hidden beast` number, since 1 + 3 + 499 + 8 + 1 + 2 + 70 + 6 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13499812706687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30751281573 + ... + 30751282011.

It is an arithmetic number, because the mean of its divisors is an integer number (33396105600).

Almost surely, 2^{13499812706688} is an apocalyptic number.

13499812706688 is a gapful number since it is divisible by the number (18) 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 13499812706688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25648209100800).

13499812706688 is an abundant number, since it is smaller than the sum of its proper divisors (37796605494912).

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

13499812706688 is a wasteful number, since it uses less digits than its factorization.

13499812706688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 13499812706688 in words is "thirteen trillion, four hundred ninety-nine billion, eight hundred twelve million, seven hundred six thousand, six hundred eighty-eight".