6243126890625 has 105 divisors (see below), whose sum is σ = 11662792569813. Its totient is φ = 3328168500000.

The previous prime is 6243126890591. The next prime is 6243126890677. The reversal of 6243126890625 is 5260986213426.

The square root of 6243126890625 is 2498625.

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

6243126890625 is a `hidden beast` number, since 6 + 2 + 4 + 3 + 1 + 2 + 6 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 5880125460609 + 363001430016 = 2424897^2 + 602496^2 .

It is not a de Polignac number, because 6243126890625 - 2⁹ = 6243126890113 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 2810952015 + ... + 2810954235.

Almost surely, 2^{6243126890625} is an apocalyptic number.

6243126890625 is the 2498625-th square number.

6243126890625 is the 1249313-rd centered octagonal number.

It is an amenable number.

6243126890625 is a deficient number, since it is larger than the sum of its proper divisors (5419665679188).

6243126890625 is an frugal number, since it uses more digits than its factorization.

6243126890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6243126890625 in words is "six trillion, two hundred forty-three billion, one hundred twenty-six million, eight hundred ninety thousand, six hundred twenty-five".