8184349966464 has 192 divisors, whose sum is σ = 28098906184800. Its totient is φ = 2338385656320.

The previous prime is 8184349966453. The next prime is 8184349966523. The reversal of 8184349966464 is 4646699434818.

8184349966464 is a `hidden beast` number, since 8 + 1 + 8 + 434 + 99 + 66 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8184349966392 and 8184349966401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23995522 + ... + 24334209.

Almost surely, 2^{8184349966464} is an apocalyptic number.

8184349966464 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

8184349966464 is an abundant number, since it is smaller than the sum of its proper divisors (19914556218336).

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

8184349966464 is a wasteful number, since it uses less digits than its factorization.

8184349966464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48329768 (or 48329743 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 8184349966464 in words is "eight trillion, one hundred eighty-four billion, three hundred forty-nine million, nine hundred sixty-six thousand, four hundred sixty-four".