6412988982544 has 135 divisors (see below), whose sum is σ = 13338373581957. Its totient is φ = 2986354002432.

The previous prime is 6412988982539. The next prime is 6412988982581. The reversal of 6412988982544 is 4452898892146.

The square root of 6412988982544 is 2532388.

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., 4992811491600 + 1420177490944 = 2234460^2 + 1191712^2 .

It is a super-2 number, since 2×6412988982544² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28757798017 + ... + 28757798239.

Almost surely, 2^{6412988982544} is an apocalyptic number.

6412988982544 is the 2532388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412988982544

6412988982544 is an abundant number, since it is smaller than the sum of its proper divisors (6925384599413).

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

6412988982544 is an equidigital number, since it uses as much as digits as its factorization.

6412988982544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 409 counting only the distinct ones).

The product of its digits is 318504960, while the sum is 70.

The spelling of 6412988982544 in words is "six trillion, four hundred twelve billion, nine hundred eighty-eight million, nine hundred eighty-two thousand, five hundred forty-four".