12934254320064 has 336 divisors, whose sum is σ = 46342505963520. Its totient is φ = 3350770513920.

The previous prime is 12934254320023. The next prime is 12934254320107. The reversal of 12934254320064 is 46002345243921.

12934254320064 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 42 + 543 + 2 + 0 + 0 + 64 = 666.

12934254320064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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, 16606102 + ... + 17367530.

Almost surely, 2^{12934254320064} is an apocalyptic number.

12934254320064 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 12934254320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23171252981760).

12934254320064 is an abundant number, since it is smaller than the sum of its proper divisors (33408251643456).

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

12934254320064 is a wasteful number, since it uses less digits than its factorization.

12934254320064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761848 (or 761835 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

Adding to 12934254320064 its reverse (46002345243921), we get a palindrome (58936599563985).

The spelling of 12934254320064 in words is "twelve trillion, nine hundred thirty-four billion, two hundred fifty-four million, three hundred twenty thousand, sixty-four".