123946446624 has 768 divisors, whose sum is σ = 452579291136. Its totient is φ = 28665446400.

The previous prime is 123946446607. The next prime is 123946446647. The reversal of 123946446624 is 426644649321.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 642209472 + ... + 642209664.

It is an arithmetic number, because the mean of its divisors is an integer number (589295952).

Almost surely, 2^123946446624 is an apocalyptic number.

123946446624 is a gapful number since it is divisible by the number (14) 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 123946446624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226289645568).

123946446624 is an abundant number, since it is smaller than the sum of its proper divisors (328632844512).

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

123946446624 is a wasteful number, since it uses less digits than its factorization.

123946446624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 51.

The spelling of 123946446624 in words is "one hundred twenty-three billion, nine hundred forty-six million, four hundred forty-six thousand, six hundred twenty-four".