12740731698816 has 960 divisors, whose sum is σ = 43331684790240. Its totient is φ = 3710100049920.

The previous prime is 12740731698797. The next prime is 12740731698823. The reversal of 12740731698816 is 61889613704721.

12740731698816 is a `hidden beast` number, since 127 + 407 + 3 + 1 + 6 + 98 + 8 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3852653835 + ... + 3852657141.

Almost surely, 2^{12740731698816} is an apocalyptic number.

12740731698816 is a gapful number since it is divisible by the number (16) 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 12740731698816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21665842395120).

12740731698816 is an abundant number, since it is smaller than the sum of its proper divisors (30590953091424).

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

12740731698816 is a wasteful number, since it uses less digits than its factorization.

12740731698816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3475 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 12740731698816 in words is "twelve trillion, seven hundred forty billion, seven hundred thirty-one million, six hundred ninety-eight thousand, eight hundred sixteen".