12500141681664 has 1408 divisors, whose sum is σ = 47806055915520. Its totient is φ = 3138293071872.

The previous prime is 12500141681641. The next prime is 12500141681683. The reversal of 12500141681664 is 46618614100521.

12500141681664 is a `hidden beast` number, since 1 + 2 + 500 + 1 + 4 + 1 + 6 + 81 + 6 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4375266924 + ... + 4375269780.

Almost surely, 2^{12500141681664} is an apocalyptic number.

12500141681664 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 12500141681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23903027957760).

12500141681664 is an abundant number, since it is smaller than the sum of its proper divisors (35305914233856).

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

12500141681664 is a wasteful number, since it uses less digits than its factorization.

12500141681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12500141681664 in words is "twelve trillion, five hundred billion, one hundred forty-one million, six hundred eighty-one thousand, six hundred sixty-four".