123948057414450 has 384 divisors, whose sum is σ = 334282562475264. Its totient is φ = 30278873088000.

The previous prime is 123948057414431. The next prime is 123948057414451. The reversal of 123948057414450 is 54414750849321.

It is not an unprimeable number, because it can be changed into a prime (123948057414451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5907622960 + ... + 5907643940.

It is an arithmetic number, because the mean of its divisors is an integer number (870527506446).

Almost surely, 2^{123948057414450} is an apocalyptic number.

123948057414450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123948057414450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167141281237632).

123948057414450 is an abundant number, since it is smaller than the sum of its proper divisors (210334505060814).

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

123948057414450 is a wasteful number, since it uses less digits than its factorization.

123948057414450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21470 (or 21465 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 123948057414450 in words is "one hundred twenty-three trillion, nine hundred forty-eight billion, fifty-seven million, four hundred fourteen thousand, four hundred fifty".