12368740146966 has 96 divisors (see below), whose sum is σ = 31283609011200. Its totient is φ = 3458226469248.

The previous prime is 12368740146953. The next prime is 12368740147003. The reversal of 12368740146966 is 66964104786321.

12368740146966 is a `hidden beast` number, since 1 + 2 + 36 + 87 + 4 + 0 + 1 + 469 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40989810 + ... + 41290458.

It is an arithmetic number, because the mean of its divisors is an integer number (325870927200).

Almost surely, 2^{12368740146966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12368740146966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15641804505600).

12368740146966 is an abundant number, since it is smaller than the sum of its proper divisors (18914868864234).

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

12368740146966 is a wasteful number, since it uses less digits than its factorization.

12368740146966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307658 (or 307655 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 12368740146966 in words is "twelve trillion, three hundred sixty-eight billion, seven hundred forty million, one hundred forty-six thousand, nine hundred sixty-six".