123840648288 has 144 divisors (see below), whose sum is σ = 402718811040. Its totient is φ = 35362234368.

The previous prime is 123840648271. The next prime is 123840648361. The reversal of 123840648288 is 882846048321.

123840648288 is a `hidden beast` number, since 1 + 2 + 3 + 84 + 0 + 6 + 482 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3589456 + ... + 3623792.

It is an arithmetic number, because the mean of its divisors is an integer number (2796658410).

Almost surely, 2^123840648288 is an apocalyptic number.

123840648288 is a gapful number since it is divisible by the number (18) 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 123840648288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201359405520).

123840648288 is an abundant number, since it is smaller than the sum of its proper divisors (278878162752).

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

123840648288 is a wasteful number, since it uses less digits than its factorization.

123840648288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36149 (or 36138 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 123840648288 in words is "one hundred twenty-three billion, eight hundred forty million, six hundred forty-eight thousand, two hundred eighty-eight".