123958288384 has 224 divisors, whose sum is σ = 295730712576. Its totient is φ = 50836930560.

The previous prime is 123958288297. The next prime is 123958288387. The reversal of 123958288384 is 483882859321.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123958288387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183099054 + ... + 183099730.

Almost surely, 2^123958288384 is an apocalyptic number.

123958288384 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 123958288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147865356288).

123958288384 is an abundant number, since it is smaller than the sum of its proper divisors (171772424192).

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

123958288384 is an equidigital number, since it uses as much as digits as its factorization.

123958288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 820 counting only the distinct ones).

The product of its digits is 26542080, while the sum is 61.

The spelling of 123958288384 in words is "one hundred twenty-three billion, nine hundred fifty-eight million, two hundred eighty-eight thousand, three hundred eighty-four".