12816861984 has 72 divisors (see below), whose sum is σ = 37797898320. Its totient is φ = 4272284736.

The previous prime is 12816861983. The next prime is 12816861997. The reversal of 12816861984 is 48916861821.

It is a happy number.

12816861984 is a `hidden beast` number, since 1 + 2 + 8 + 16 + 8 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×12816861984² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12816861984.

It is not an unprimeable number, because it can be changed into a prime (12816861983) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 816354 + ... + 831905.

It is an arithmetic number, because the mean of its divisors is an integer number (524970810).

Almost surely, 2^12816861984 is an apocalyptic number.

It is an amenable number.

12816861984 is an abundant number, since it is smaller than the sum of its proper divisors (24981036336).

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

12816861984 is an equidigital number, since it uses as much as digits as its factorization.

12816861984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648284 (or 1648264 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 12816861984 in words is "twelve billion, eight hundred sixteen million, eight hundred sixty-one thousand, nine hundred eighty-four".