13724659546816 has 224 divisors, whose sum is σ = 29937075609600. Its totient is φ = 6217823969280.

The previous prime is 13724659546777. The next prime is 13724659546837. The reversal of 13724659546816 is 61864595642731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3408157795 + ... + 3408161821.

Almost surely, 2^{13724659546816} is an apocalyptic number.

13724659546816 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 13724659546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14968537804800).

13724659546816 is an abundant number, since it is smaller than the sum of its proper divisors (16212416062784).

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

13724659546816 is a wasteful number, since it uses less digits than its factorization.

13724659546816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4965 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 67.

The spelling of 13724659546816 in words is "thirteen trillion, seven hundred twenty-four billion, six hundred fifty-nine million, five hundred forty-six thousand, eight hundred sixteen".