123564082788 has 36 divisors (see below), whose sum is σ = 312392562300. Its totient is φ = 41181431616.

The previous prime is 123564082781. The next prime is 123564082813. The reversal of 123564082788 is 887280465321.

123564082788 is a `hidden beast` number, since 1 + 2 + 3 + 564 + 0 + 8 + 2 + 78 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57565445184 + 65998637604 = 239928^2 + 256902^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (123564082781) 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, 44263 + ... + 499086.

It is an arithmetic number, because the mean of its divisors is an integer number (8677571175).

Almost surely, 2^123564082788 is an apocalyptic number.

123564082788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

123564082788 is an abundant number, since it is smaller than the sum of its proper divisors (188828479512).

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

123564082788 is a wasteful number, since it uses less digits than its factorization.

123564082788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549676 (or 549671 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 123564082788 in words is "one hundred twenty-three billion, five hundred sixty-four million, eighty-two thousand, seven hundred eighty-eight".