6468858126025 has 81 divisors (see below), whose sum is σ = 8458031676159. Its totient is φ = 4907734992000.

The previous prime is 6468858126023. The next prime is 6468858126043. The reversal of 6468858126025 is 5206218588646.

The square root of 6468858126025 is 2543395.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5054461693369 + 1414396432656 = 2248213^2 + 1189284^2 .

It is not a de Polignac number, because 6468858126025 - 2¹ = 6468858126023 is a prime.

It is a super-2 number, since 2×6468858126025² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (6468858126023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 24047799591 + ... + 24047799859.

Almost surely, 2^{6468858126025} is an apocalyptic number.

6468858126025 is the 2543395-th square number.

6468858126025 is the 1271698-th centered octagonal number.

It is an amenable number.

6468858126025 is a deficient number, since it is larger than the sum of its proper divisors (1989173550134).

6468858126025 is an frugal number, since it uses more digits than its factorization.

6468858126025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 61.

The spelling of 6468858126025 in words is "six trillion, four hundred sixty-eight billion, eight hundred fifty-eight million, one hundred twenty-six thousand, twenty-five".