123858948096 has 585 divisors, whose sum is σ = 409359567441. Its totient is φ = 37299585024.

The previous prime is 123858948067. The next prime is 123858948131. The reversal of 123858948096 is 690849858321.

The square root of 123858948096 is 351936.

It is a perfect power (a square), and thus also a powerful number.

123858948096 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 589 + 48 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18322329600 + 105536618496 = 135360^2 + 324864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2635296745 + ... + 2635296791.

Almost surely, 2^123858948096 is an apocalyptic number.

123858948096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

123858948096 is the 351936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123858948096

123858948096 is an abundant number, since it is smaller than the sum of its proper divisors (285500619345).

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

123858948096 is an frugal number, since it uses more digits than its factorization.

123858948096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 123858948096 in words is "one hundred twenty-three billion, eight hundred fifty-eight million, nine hundred forty-eight thousand, ninety-six".