16777216000000 has 217 divisors, whose sum is σ = 41942503109557. Its totient is φ = 6710886400000.

The previous prime is 16777215999983. The next prime is 16777216000033. The reversal of 16777216000000 is 61277761.

The square root of 16777216000000 is 4096000.

The cubic root of 16777216000000 is 25600.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 14698451828736 + 2078764171264 = 3833856^2 + 1441792^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=5, B=320.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 3355443199998 + ... + 3355443200002.

Almost surely, 2^{16777216000000} is an apocalyptic number.

16777216000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16777216000000 is the 4096000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16777216000000

16777216000000 is an abundant number, since it is smaller than the sum of its proper divisors (25165287109557).

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

16777216000000 is an frugal number, since it uses more digits than its factorization.

16777216000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

Adding to 16777216000000 its reverse (61277761), we get a palindrome (16777277277761).

The spelling of 16777216000000 in words is "sixteen trillion, seven hundred seventy-seven billion, two hundred sixteen million", and thus it is an aban number.