123349827744 has 864 divisors, whose sum is σ = 441938624400. Its totient is φ = 32359219200.

The previous prime is 123349827721. The next prime is 123349827751. The reversal of 123349827744 is 447728943321.

123349827744 is a `hidden beast` number, since 1 + 23 + 349 + 8 + 277 + 4 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 37090137744 + 86259690000 = 192588^2 + 293700^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 538645422 + ... + 538645650.

Almost surely, 2^123349827744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123349827744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220969312200).

123349827744 is an abundant number, since it is smaller than the sum of its proper divisors (318588796656).

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

123349827744 is a wasteful number, since it uses less digits than its factorization.

123349827744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 123349827744 in words is "one hundred twenty-three billion, three hundred forty-nine million, eight hundred twenty-seven thousand, seven hundred forty-four".