123541344405504 has 240 divisors, whose sum is σ = 375971174839260. Its totient is φ = 40403455672320.

The previous prime is 123541344405473. The next prime is 123541344405559. The reversal of 123541344405504 is 405504443145321.

123541344405504 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 4 + 13 + 44 + 40 + 550 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117856209945600 + 5685134459904 = 10856160^2 + 2384352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 123541344405504.

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 19 ways as a sum of consecutive naturals, for example, 1766334 + ... + 15817794.

Almost surely, 2^{123541344405504} 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 123541344405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187985587419630).

123541344405504 is an abundant number, since it is smaller than the sum of its proper divisors (252429830433756).

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

123541344405504 is an equidigital number, since it uses as much as digits as its factorization.

123541344405504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14051548 (or 14051519 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 123541344405504 in words is "one hundred twenty-three trillion, five hundred forty-one billion, three hundred forty-four million, four hundred five thousand, five hundred four".