6248893321125 has 700 divisors, whose sum is σ = 14777202166428. Its totient is φ = 2636895643200.

The previous prime is 6248893321093. The next prime is 6248893321129. The reversal of 6248893321125 is 5211233988426.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

6248893321125 is a `hidden beast` number, since 6 + 2 + 488 + 9 + 3 + 32 + 1 + 125 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 4248685602756 + 2000207718369 = 2061234^2 + 1414287^2 .

It is not a de Polignac number, because 6248893321125 - 2⁵ = 6248893321093 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 6248893321125 = 4485³ + 18330³ = 12285³ + 16380³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6248893321129) by changing a digit.

It is a polite number, since it can be written in 699 ways as a sum of consecutive naturals, for example, 480684101619 + ... + 480684101631.

Almost surely, 2^{6248893321125} is an apocalyptic number.

6248893321125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6248893321125 is an abundant number, since it is smaller than the sum of its proper divisors (8528308845303).

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

6248893321125 is an frugal number, since it uses more digits than its factorization.

6248893321125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 28 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 6248893321125 in words is "six trillion, two hundred forty-eight billion, eight hundred ninety-three million, three hundred twenty-one thousand, one hundred twenty-five".