16395042816 has 384 divisors, whose sum is σ = 51526238400. Its totient is φ = 5202247680.

The previous prime is 16395042767. The next prime is 16395042817. The reversal of 16395042816 is 61824059361.

16395042816 is a `hidden beast` number, since 1 + 63 + 9 + 504 + 2 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (16395042817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230916061 + ... + 230916131.

Almost surely, 2^16395042816 is an apocalyptic number.

16395042816 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 16395042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25763119200).

16395042816 is an abundant number, since it is smaller than the sum of its proper divisors (35131195584).

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

16395042816 is an frugal number, since it uses more digits than its factorization.

16395042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 16395042816 in words is "sixteen billion, three hundred ninety-five million, forty-two thousand, eight hundred sixteen".