123857322432480 has 1728 divisors, whose sum is σ = 547611600751488. Its totient is φ = 25773102858240.

The previous prime is 123857322432463. The next prime is 123857322432533. The reversal of 123857322432480 is 84234223758321.

123857322432480 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 573 + 2 + 2 + 43 + 24 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6973546800 + ... + 6973564560.

It is an arithmetic number, because the mean of its divisors is an integer number (316904861546).

Almost surely, 2^{123857322432480} is an apocalyptic number.

123857322432480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123857322432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273805800375744).

123857322432480 is an abundant number, since it is smaller than the sum of its proper divisors (423754278319008).

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

123857322432480 is an equidigital number, since it uses as much as digits as its factorization.

123857322432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17893 (or 17864 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 123857322432480 in words is "one hundred twenty-three trillion, eight hundred fifty-seven billion, three hundred twenty-two million, four hundred thirty-two thousand, four hundred eighty".