13665171998016 has 1344 divisors, whose sum is σ = 53283635896320. Its totient is φ = 3434310835200.

The previous prime is 13665171997987. The next prime is 13665171998029. The reversal of 13665171998016 is 61089917156631.

13665171998016 is a `hidden beast` number, since 1 + 3 + 6 + 6 + 517 + 19 + 98 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2338722391 + ... + 2338728233.

Almost surely, 2^{13665171998016} is an apocalyptic number.

13665171998016 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 13665171998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26641817948160).

13665171998016 is an abundant number, since it is smaller than the sum of its proper divisors (39618463898304).

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

13665171998016 is an equidigital number, since it uses as much as digits as its factorization.

13665171998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 13665171998016 in words is "thirteen trillion, six hundred sixty-five billion, one hundred seventy-one million, nine hundred ninety-eight thousand, sixteen".