123845296050 has 576 divisors, whose sum is σ = 411033692160. Its totient is φ = 26127360000.

The previous prime is 123845296007. The next prime is 123845296199. The reversal of 123845296050 is 50692548321.

123845296050 is a `hidden beast` number, since 1 + 2 + 38 + 4 + 5 + 2 + 9 + 605 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 123845295987 and 123845296005.

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, 286016634 + ... + 286017066.

It is an arithmetic number, because the mean of its divisors is an integer number (713600160).

Almost surely, 2^123845296050 is an apocalyptic number.

123845296050 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 123845296050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205516846080).

123845296050 is an abundant number, since it is smaller than the sum of its proper divisors (287188396110).

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

123845296050 is a wasteful number, since it uses less digits than its factorization.

123845296050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 123845296050 in words is "one hundred twenty-three billion, eight hundred forty-five million, two hundred ninety-six thousand, fifty".