12875351474176 has 225 divisors, whose sum is σ = 27644229730929. Its totient is φ = 5996525125632.

The previous prime is 12875351474171. The next prime is 12875351474197. The reversal of 12875351474176 is 67147415357821.

The square root of 12875351474176 is 3588224.

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

It can be written as a sum of positive squares in 7 ways, for example, as 760942182400 + 12114409291776 = 872320^2 + 3480576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12875351474171) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 132735582160 + ... + 132735582256.

Almost surely, 2^{12875351474176} is an apocalyptic number.

12875351474176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12875351474176 is the 3588224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12875351474176

12875351474176 is an abundant number, since it is smaller than the sum of its proper divisors (14768878256753).

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

12875351474176 is an frugal number, since it uses more digits than its factorization.

12875351474176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 116 counting only the distinct ones).

The product of its digits is 39513600, while the sum is 61.

The spelling of 12875351474176 in words is "twelve trillion, eight hundred seventy-five billion, three hundred fifty-one million, four hundred seventy-four thousand, one hundred seventy-six".