12607072814736 has 675 divisors, whose sum is σ = 40107834087321. Its totient is φ = 3822424494336.

The previous prime is 12607072814719. The next prime is 12607072814759. The reversal of 12607072814736 is 63741827070621.

The square root of 12607072814736 is 3550644.

It is a perfect power (a square), and thus also a powerful number.

12607072814736 is a `hidden beast` number, since 1 + 2 + 607 + 0 + 7 + 28 + 1 + 4 + 7 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6610843176336 + 5996229638400 = 2571156^2 + 2448720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 70430574295 + ... + 70430574473.

Almost surely, 2^{12607072814736} is an apocalyptic number.

12607072814736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12607072814736 is the 3550644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12607072814736

12607072814736 is an abundant number, since it is smaller than the sum of its proper divisors (27500761272585).

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

12607072814736 is an equidigital number, since it uses as much as digits as its factorization.

12607072814736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 12607072814736 in words is "twelve trillion, six hundred seven billion, seventy-two million, eight hundred fourteen thousand, seven hundred thirty-six".