12337881566640 has 240 divisors, whose sum is σ = 44669180989440. Its totient is φ = 2808851136000.

The previous prime is 12337881566629. The next prime is 12337881566641. The reversal of 12337881566640 is 4666518873321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (12337881566641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 861841 + ... + 5041679.

It is an arithmetic number, because the mean of its divisors is an integer number (186121587456).

Almost surely, 2^{12337881566640} is an apocalyptic number.

12337881566640 is a gapful number since it is divisible by the number (10) 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 12337881566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334590494720).

12337881566640 is an abundant number, since it is smaller than the sum of its proper divisors (32331299422800).

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

12337881566640 is a wasteful number, since it uses less digits than its factorization.

12337881566640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4180120 (or 4180107 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 12337881566640 in words is "twelve trillion, three hundred thirty-seven billion, eight hundred eighty-one million, five hundred sixty-six thousand, six hundred forty".