123785600544 has 192 divisors, whose sum is σ = 366782976000. Its totient is φ = 40609071360.

The previous prime is 123785600509. The next prime is 123785600551. The reversal of 123785600544 is 445006587321.

123785600544 is a `hidden beast` number, since 1 + 2 + 37 + 8 + 5 + 600 + 5 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 123785600544.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22589997 + ... + 22595475.

It is an arithmetic number, because the mean of its divisors is an integer number (1910328000).

Almost surely, 2^123785600544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123785600544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183391488000).

123785600544 is an abundant number, since it is smaller than the sum of its proper divisors (242997375456).

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

123785600544 is a wasteful number, since it uses less digits than its factorization.

123785600544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5908 (or 5894 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 123785600544 in words is "one hundred twenty-three billion, seven hundred eighty-five million, six hundred thousand, five hundred forty-four".