16064064000000 has 819 divisors, whose sum is σ = 58350689253961. Its totient is φ = 4258099200000.

The previous prime is 16064063999987. The next prime is 16064064000007. The reversal of 16064064000000 is 46046061.

The square root of 16064064000000 is 4008000.

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

16064064000000 is a `hidden beast` number, since 16 + 0 + 6 + 4 + 0 + 640 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 14073662214144 + 1990401785856 = 3751488^2 + 1410816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16064064000007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 96191999917 + ... + 96192000083.

Almost surely, 2^{16064064000000} is an apocalyptic number.

16064064000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16064064000000 is the 4008000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16064064000000

16064064000000 is an abundant number, since it is smaller than the sum of its proper divisors (42286625253961).

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

16064064000000 is an frugal number, since it uses more digits than its factorization.

16064064000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 16064064000000 in words is "sixteen trillion, sixty-four billion, sixty-four million", and thus it is an aban number.