16204271616 has 585 divisors, whose sum is σ = 55681607091. Its totient is φ = 4692639744.

The previous prime is 16204271593. The next prime is 16204271641. The reversal of 16204271616 is 61617240261.

The square root of 16204271616 is 127296.

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

16204271616 is a `hidden beast` number, since 1 + 620 + 4 + 2 + 7 + 16 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146313216 + 16057958400 = 12096^2 + 126720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 953192440 + ... + 953192456.

Almost surely, 2^16204271616 is an apocalyptic number.

16204271616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16204271616 is the 127296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16204271616

16204271616 is an abundant number, since it is smaller than the sum of its proper divisors (39477335475).

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

16204271616 is an equidigital number, since it uses as much as digits as its factorization.

16204271616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 16204271616 by its sum of digits (36), we get a square (583353778176 = 763776²).

16204271616 divided by its sum of digits (36) gives a square (450118656 = 21216²).

The spelling of 16204271616 in words is "sixteen billion, two hundred four million, two hundred seventy-one thousand, six hundred sixteen".