123345350314110 has 128 divisors (see below), whose sum is σ = 336864094277760. Its totient is φ = 32107067670528.

The previous prime is 123345350314103. The next prime is 123345350314111. The reversal of 123345350314110 is 11413053543321.

123345350314110 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 4 + 5 + 3 + 503 + 141 + 1 + 0 = 666.

It is a super-2 number, since 2×123345350314110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123345350314111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30345907 + ... + 34169646.

It is an arithmetic number, because the mean of its divisors is an integer number (2631750736545).

Almost surely, 2^{123345350314110} is an apocalyptic number.

123345350314110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123345350314110 is an abundant number, since it is smaller than the sum of its proper divisors (213518743963650).

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

123345350314110 is a wasteful number, since it uses less digits than its factorization.

123345350314110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64515739 (or 64515733 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 123345350314110 in words is "one hundred twenty-three trillion, three hundred forty-five billion, three hundred fifty million, three hundred fourteen thousand, one hundred ten".