16815861216 has 576 divisors, whose sum is σ = 62707986432. Its totient is φ = 4147200000.

The previous prime is 16815861193. The next prime is 16815861299. The reversal of 16815861216 is 61216851861.

16815861216 is a `hidden beast` number, since 1 + 6 + 8 + 15 + 8 + 612 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41934616 + ... + 41935016.

It is an arithmetic number, because the mean of its divisors is an integer number (108868032).

Almost surely, 2^16815861216 is an apocalyptic number.

16815861216 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 16815861216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31353993216).

16815861216 is an abundant number, since it is smaller than the sum of its proper divisors (45892125216).

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

16815861216 is a wasteful number, since it uses less digits than its factorization.

16815861216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 16815861216 in words is "sixteen billion, eight hundred fifteen million, eight hundred sixty-one thousand, two hundred sixteen".