3126414036512 has 24 divisors (see below), whose sum is σ = 6628598991756. Its totient is φ = 1442960324352.

The previous prime is 3126414036511. The next prime is 3126414036523. The reversal of 3126414036512 is 2156304146213.

3126414036512 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 2 ways, for example, as 3125244122896 + 1169913616 = 1767836^2 + 34204^2 .

It is a super-3 number, since 3×3126414036512³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3126414036511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3757708763 + ... + 3757709594.

Almost surely, 2^{3126414036512} is an apocalyptic number.

3126414036512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3126414036512 is an abundant number, since it is smaller than the sum of its proper divisors (3502184955244).

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

3126414036512 is a wasteful number, since it uses less digits than its factorization.

3126414036512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515418380 (or 7515418372 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 3126414036512 in words is "three trillion, one hundred twenty-six billion, four hundred fourteen million, thirty-six thousand, five hundred twelve".