12916141935488 has 128 divisors (see below), whose sum is σ = 29131944192000. Its totient is φ = 5650293913600.

The previous prime is 12916141935467. The next prime is 12916141935491. The reversal of 12916141935488 is 88453914161921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 12916141935488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12190193 + ... + 13207311.

It is an arithmetic number, because the mean of its divisors is an integer number (227593314000).

Almost surely, 2^{12916141935488} 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 12916141935488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565972096000).

12916141935488 is an abundant number, since it is smaller than the sum of its proper divisors (16215802256512).

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

12916141935488 is a wasteful number, since it uses less digits than its factorization.

12916141935488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017484 (or 1017472 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 62.

The spelling of 12916141935488 in words is "twelve trillion, nine hundred sixteen billion, one hundred forty-one million, nine hundred thirty-five thousand, four hundred eighty-eight".