123545345000 has 320 divisors, whose sum is σ = 362763878400. Its totient is φ = 38308320000.

The previous prime is 123545344973. The next prime is 123545345009. The reversal of 123545345000 is 543545321.

It is a happy number.

123545345000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (123545345009) 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 79 ways as a sum of consecutive naturals, for example, 85854281 + ... + 85855719.

It is an arithmetic number, because the mean of its divisors is an integer number (1133637120).

Almost surely, 2^123545345000 is an apocalyptic number.

123545345000 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 123545345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181381939200).

123545345000 is an abundant number, since it is smaller than the sum of its proper divisors (239218533400).

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

123545345000 is a wasteful number, since it uses less digits than its factorization.

123545345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 123545345000 in words is "one hundred twenty-three billion, five hundred forty-five million, three hundred forty-five thousand".