13509974016 has 768 divisors, whose sum is σ = 52835328000. Its totient is φ = 3304488960.

The previous prime is 13509973999. The next prime is 13509974033. The reversal of 13509974016 is 61047990531.

13509974016 is a `hidden beast` number, since 1 + 3 + 509 + 97 + 40 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (13509973999) and next prime (13509974033).

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80897965 + ... + 80898131.

It is an arithmetic number, because the mean of its divisors is an integer number (68796000).

Almost surely, 2^13509974016 is an apocalyptic number.

13509974016 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 13509974016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26417664000).

13509974016 is an abundant number, since it is smaller than the sum of its proper divisors (39325353984).

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

13509974016 is a wasteful number, since it uses less digits than its factorization.

13509974016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13509974016 in words is "thirteen billion, five hundred nine million, nine hundred seventy-four thousand, sixteen".