16045795584 has 729 divisors, whose sum is σ = 60354318843. Its totient is φ = 4085932032.

The previous prime is 16045795573. The next prime is 16045795603. The reversal of 16045795584 is 48559754061.

It is a happy number.

The square root of 16045795584 is 126672.

It is a perfect power (a square), and thus also a powerful number.

16045795584 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 57 + 9 + 5 + 584 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2057529600 + 13988265984 = 45360^2 + 118272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16045795584.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 553303282 + ... + 553303310.

Almost surely, 2^16045795584 is an apocalyptic number.

16045795584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16045795584 is the 126672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16045795584

16045795584 is an abundant number, since it is smaller than the sum of its proper divisors (44308523259).

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

16045795584 is a wasteful number, since it uses less digits than its factorization.

16045795584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 16045795584 in words is "sixteen billion, forty-five million, seven hundred ninety-five thousand, five hundred eighty-four".