816550061733504 has 384 divisors, whose sum is σ = 2809995263038080. Its totient is φ = 222711690240000.

The previous prime is 816550061733493. The next prime is 816550061733517. The reversal of 816550061733504 is 405337160055618.

816550061733504 is a `hidden beast` number, since 8 + 1 + 6 + 5 + 5 + 0 + 0 + 61 + 73 + 3 + 504 = 666.

816550061733504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×816550061733504³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10004622 + ... + 41631629.

It is an arithmetic number, because the mean of its divisors is an integer number (7317695997495).

Almost surely, 2^{816550061733504} is an apocalyptic number.

816550061733504 is a gapful number since it is divisible by the number (84) 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 816550061733504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404997631519040).

816550061733504 is an abundant number, since it is smaller than the sum of its proper divisors (1993445201304576).

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

816550061733504 is a wasteful number, since it uses less digits than its factorization.

816550061733504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51636368 (or 51636353 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 816550061733504 in words is "eight hundred sixteen trillion, five hundred fifty billion, sixty-one million, seven hundred thirty-three thousand, five hundred four".