816141468977856 has 168 divisors, whose sum is σ = 2759753334334464. Its totient is φ = 225661235627520.

The previous prime is 816141468977833. The next prime is 816141468977881. The reversal of 816141468977856 is 658779864141618.

816141468977856 is a `hidden beast` number, since 8 + 1 + 6 + 1 + 4 + 1 + 468 + 9 + 77 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3264649830 + ... + 3264899813.

Almost surely, 2^{816141468977856} is an apocalyptic number.

It is an amenable number.

816141468977856 is an abundant number, since it is smaller than the sum of its proper divisors (1943611865356608).

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

816141468977856 is a wasteful number, since it uses less digits than its factorization.

816141468977856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529549699 (or 6529549686 counting only the distinct ones).

The product of its digits is 3901685760, while the sum is 81.

The spelling of 816141468977856 in words is "eight hundred sixteen trillion, one hundred forty-one billion, four hundred sixty-eight million, nine hundred seventy-seven thousand, eight hundred fifty-six".