12388742360064 has 2112 divisors, whose sum is σ = 47532224304000. Its totient is φ = 3202503671808.

The previous prime is 12388742360023. The next prime is 12388742360101. The reversal of 12388742360064 is 46006324788321.

12388742360064 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 8 + 7 + 4 + 23 + 600 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54099311502 + ... + 54099311730.

Almost surely, 2^{12388742360064} is an apocalyptic number.

12388742360064 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 12388742360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23766112152000).

12388742360064 is an abundant number, since it is smaller than the sum of its proper divisors (35143481943936).

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

12388742360064 is an equidigital number, since it uses as much as digits as its factorization.

12388742360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 12388742360064 in words is "twelve trillion, three hundred eighty-eight billion, seven hundred forty-two million, three hundred sixty thousand, sixty-four".