16605474431616 has 576 divisors, whose sum is σ = 56544716442240. Its totient is φ = 4581941022720.

The previous prime is 16605474431573. The next prime is 16605474431617. The reversal of 16605474431616 is 61613447450661.

16605474431616 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 5 + 474 + 4 + 3 + 161 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (16605474431617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4316471805 + ... + 4316475651.

It is an arithmetic number, because the mean of its divisors is an integer number (98167910490).

Almost surely, 2^{16605474431616} is an apocalyptic number.

16605474431616 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 16605474431616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28272358221120).

16605474431616 is an abundant number, since it is smaller than the sum of its proper divisors (39939242010624).

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

16605474431616 is a wasteful number, since it uses less digits than its factorization.

16605474431616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4493 (or 4447 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 16605474431616 in words is "sixteen trillion, six hundred five billion, four hundred seventy-four million, four hundred thirty-one thousand, six hundred sixteen".