13998143723520 has 768 divisors, whose sum is σ = 49865982566400. Its totient is φ = 3323652341760.

The previous prime is 13998143723471. The next prime is 13998143723549. The reversal of 13998143723520 is 2532734189931.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6120743817 + ... + 6120746103.

It is an arithmetic number, because the mean of its divisors is an integer number (64929664800).

Almost surely, 2^{13998143723520} is an apocalyptic number.

13998143723520 is a gapful number since it is divisible by the number (10) 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 13998143723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932991283200).

13998143723520 is an abundant number, since it is smaller than the sum of its proper divisors (35867838842880).

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

13998143723520 is a wasteful number, since it uses less digits than its factorization.

13998143723520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 13998143723520 in words is "thirteen trillion, nine hundred ninety-eight billion, one hundred forty-three million, seven hundred twenty-three thousand, five hundred twenty".