123314333550432 has 48 divisors (see below), whose sum is σ = 342741309431472. Its totient is φ = 38686849740800.

The previous prime is 123314333550349. The next prime is 123314333550437. The reversal of 123314333550432 is 234055333413321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123314333550437) 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 7 ways as a sum of consecutive naturals, for example, 37780125069 + ... + 37780128332.

It is an arithmetic number, because the mean of its divisors is an integer number (7140443946489).

Almost surely, 2^{123314333550432} is an apocalyptic number.

123314333550432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123314333550432 is an abundant number, since it is smaller than the sum of its proper divisors (219426975881040).

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

123314333550432 is a wasteful number, since it uses less digits than its factorization.

123314333550432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75560253431 (or 75560253423 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

Adding to 123314333550432 its reverse (234055333413321), we get a palindrome (357369666963753).

The spelling of 123314333550432 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred thirty-three million, five hundred fifty thousand, four hundred thirty-two".