123761832804 has 81 divisors (see below), whose sum is σ = 332423787787. Its totient is φ = 38815984128.

The previous prime is 123761832757. The next prime is 123761832827. The reversal of 123761832804 is 408238167321.

The square root of 123761832804 is 351798.

It is a perfect power (a square), and thus also a powerful number.

123761832804 is a `hidden beast` number, since 1 + 2 + 3 + 7 + 618 + 3 + 28 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20366144100 + 103395688704 = 142710^2 + 321552^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123761832804.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 35881672 + ... + 35885120.

Almost surely, 2^123761832804 is an apocalyptic number.

123761832804 is the 351798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123761832804

123761832804 is an abundant number, since it is smaller than the sum of its proper divisors (208661954983).

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

123761832804 is an equidigital number, since it uses as much as digits as its factorization.

123761832804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 123761832804 in words is "one hundred twenty-three billion, seven hundred sixty-one million, eight hundred thirty-two thousand, eight hundred four".