16204962816 has 704 divisors, whose sum is σ = 58943119360. Its totient is φ = 4299816960.

The previous prime is 16204962803. The next prime is 16204962817. The reversal of 16204962816 is 61826940261.

16204962816 is a `hidden beast` number, since 1 + 6 + 2 + 0 + 4 + 9 + 628 + 16 = 666.

It is a super-3 number, since 3×16204962816³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16204962817) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 221985756 + ... + 221985828.

Almost surely, 2^16204962816 is an apocalyptic number.

16204962816 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 16204962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29471559680).

16204962816 is an abundant number, since it is smaller than the sum of its proper divisors (42738156544).

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

16204962816 is a wasteful number, since it uses less digits than its factorization.

16204962816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 16204962816 in words is "sixteen billion, two hundred four million, nine hundred sixty-two thousand, eight hundred sixteen".