16185494016 has 240 divisors, whose sum is σ = 47857249440. Its totient is φ = 5264793600.

The previous prime is 16185493999. The next prime is 16185494029. The reversal of 16185494016 is 61049458161.

16185494016 is a `hidden beast` number, since 1 + 61 + 8 + 549 + 40 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38628655 + ... + 38629073.

It is an arithmetic number, because the mean of its divisors is an integer number (199405206).

Almost surely, 2^16185494016 is an apocalyptic number.

16185494016 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 16185494016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23928624720).

16185494016 is an abundant number, since it is smaller than the sum of its proper divisors (31671755424).

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

16185494016 is a wasteful number, since it uses less digits than its factorization.

16185494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 608 counting only the distinct ones).

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

The spelling of 16185494016 in words is "sixteen billion, one hundred eighty-five million, four hundred ninety-four thousand, sixteen".