12703745932704 has 288 divisors, whose sum is σ = 39670214285520. Its totient is φ = 3838348394496.

The previous prime is 12703745932649. The next prime is 12703745932723. The reversal of 12703745932704 is 40723954730721.

12703745932704 is a `hidden beast` number, since 1 + 27 + 0 + 3 + 7 + 4 + 593 + 27 + 0 + 4 = 666.

12703745932704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10302944432400 + 2400801500304 = 3209820^2 + 1549452^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12703745932704² (a number of 27 digits) contains 22 as substring.

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, 56254962 + ... + 56480334.

Almost surely, 2^{12703745932704} 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 12703745932704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19835107142760).

12703745932704 is an abundant number, since it is smaller than the sum of its proper divisors (26966468352816).

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

12703745932704 is a wasteful number, since it uses less digits than its factorization.

12703745932704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225832 (or 225821 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 12703745932704 in words is "twelve trillion, seven hundred three billion, seven hundred forty-five million, nine hundred thirty-two thousand, seven hundred four".