13998703131600 has 240 divisors, whose sum is σ = 48926390177280. Its totient is φ = 3393119577600.

The previous prime is 13998703131599. The next prime is 13998703131601. The reversal of 13998703131600 is 613130789931.

It is an interprime number because it is at equal distance from previous prime (13998703131599) and next prime (13998703131601).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13998703131601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92680941 + ... + 92831859.

It is an arithmetic number, because the mean of its divisors is an integer number (203859959072).

Almost surely, 2^{13998703131600} is an apocalyptic number.

13998703131600 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 13998703131600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24463195088640).

13998703131600 is an abundant number, since it is smaller than the sum of its proper divisors (34927687045680).

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

13998703131600 is a wasteful number, since it uses less digits than its factorization.

13998703131600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157978 (or 157967 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 13998703131600 in words is "thirteen trillion, nine hundred ninety-eight billion, seven hundred three million, one hundred thirty-one thousand, six hundred".