13689691397856 has 288 divisors, whose sum is σ = 41825667461760. Its totient is φ = 4399377421824.

The previous prime is 13689691397839. The next prime is 13689691397881. The reversal of 13689691397856 is 65879319698631.

13689691397856 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 96 + 91 + 397 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent 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, 153974791 + ... + 154063673.

It is an arithmetic number, because the mean of its divisors is an integer number (145228012020).

Almost surely, 2^{13689691397856} is an apocalyptic number.

13689691397856 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 13689691397856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912833730880).

13689691397856 is an abundant number, since it is smaller than the sum of its proper divisors (28135976063904).

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

13689691397856 is an equidigital number, since it uses as much as digits as its factorization.

13689691397856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89620 (or 89600 counting only the distinct ones).

The product of its digits is 3174474240, while the sum is 81.

The spelling of 13689691397856 in words is "thirteen trillion, six hundred eighty-nine billion, six hundred ninety-one million, three hundred ninety-seven thousand, eight hundred fifty-six".