13584109142016 has 972 divisors, whose sum is σ = 50125489196328. Its totient is φ = 3652869685248.

The previous prime is 13584109141987. The next prime is 13584109142039. The reversal of 13584109142016 is 61024190148531.

13584109142016 is a `hidden beast` number, since 1 + 3 + 584 + 10 + 9 + 1 + 42 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 799065243640 + ... + 799065243656.

Almost surely, 2^{13584109142016} is an apocalyptic number.

13584109142016 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 13584109142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25062744598164).

13584109142016 is an abundant number, since it is smaller than the sum of its proper divisors (36541380054312).

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

13584109142016 is an frugal number, since it uses more digits than its factorization.

13584109142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13584109142016 in words is "thirteen trillion, five hundred eighty-four billion, one hundred nine million, one hundred forty-two thousand, sixteen".