12693060080064 has 336 divisors, whose sum is σ = 44836366341312. Its totient is φ = 3343278882816.

The previous prime is 12693060080059. The next prime is 12693060080083. The reversal of 12693060080064 is 46008006039621.

12693060080064 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 30 + 600 + 8 + 0 + 0 + 6 + 4 = 666.

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

It is a super-2 number, since 2×12693060080064² (a number of 27 digits) contains 22 as substring.

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, 40360932 + ... + 40674204.

It is an arithmetic number, because the mean of its divisors is an integer number (133441566492).

Almost surely, 2^{12693060080064} is an apocalyptic number.

12693060080064 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 12693060080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22418183170656).

12693060080064 is an abundant number, since it is smaller than the sum of its proper divisors (32143306261248).

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

12693060080064 is a wasteful number, since it uses less digits than its factorization.

12693060080064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314084 (or 314071 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 12693060080064 in words is "twelve trillion, six hundred ninety-three billion, sixty million, eighty thousand, sixty-four".