6125214125216 has 96 divisors (see below), whose sum is σ = 12818282717520. Its totient is φ = 2881164238848.

The previous prime is 6125214125207. The next prime is 6125214125221.

6125214125216 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 1862624448400 + 4262589676816 = 1364780^2 + 2064604^2 .

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 6125214125216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413942330 + ... + 413957126.

Almost surely, 2^{6125214125216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6125214125216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409141358760).

6125214125216 is an abundant number, since it is smaller than the sum of its proper divisors (6693068592304).

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

6125214125216 is a wasteful number, since it uses less digits than its factorization.

6125214125216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17491 (or 17449 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The spelling of 6125214125216 in words is "six trillion, one hundred twenty-five billion, two hundred fourteen million, one hundred twenty-five thousand, two hundred sixteen".