13934822696928 has 216 divisors, whose sum is σ = 46103690112480. Its totient is φ = 3980790696960.

The previous prime is 13934822696863. The next prime is 13934822696957. The reversal of 13934822696928 is 82969622843931.

It is a happy number.

13934822696928 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 482 + 2 + 69 + 69 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 100535193 + ... + 100673703.

It is an arithmetic number, because the mean of its divisors is an integer number (213443009780).

Almost surely, 2^{13934822696928} is an apocalyptic number.

13934822696928 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 13934822696928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23051845056240).

13934822696928 is an abundant number, since it is smaller than the sum of its proper divisors (32168867415552).

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

13934822696928 is a wasteful number, since it uses less digits than its factorization.

13934822696928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145670 (or 145652 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 13934822696928 in words is "thirteen trillion, nine hundred thirty-four billion, eight hundred twenty-two million, six hundred ninety-six thousand, nine hundred twenty-eight".