6412158386176 has 135 divisors (see below), whose sum is σ = 13050156965013. Its totient is φ = 3150491811840.

The previous prime is 6412158386159. The next prime is 6412158386189. The reversal of 6412158386176 is 6716838512146.

The square root of 6412158386176 is 2532224.

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

It can be written as a sum of positive squares in only one way, i.e., 3639853465600 + 2772304920576 = 1907840^2 + 1665024^2 .

It is a super-2 number, since 2×6412158386176² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6412158386176.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23661100921 + ... + 23661101191.

Almost surely, 2^{6412158386176} is an apocalyptic number.

6412158386176 is the 2532224-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412158386176

6412158386176 is an abundant number, since it is smaller than the sum of its proper divisors (6637998578837).

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

6412158386176 is an frugal number, since it uses more digits than its factorization.

6412158386176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 346 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The spelling of 6412158386176 in words is "six trillion, four hundred twelve billion, one hundred fifty-eight million, three hundred eighty-six thousand, one hundred seventy-six".