5646212382976 has 243 divisors, whose sum is σ = 12972221570623. Its totient is φ = 2450692879360.

The previous prime is 5646212382971. The next prime is 5646212382977. The reversal of 5646212382976 is 6792832126465.

It is a happy number.

The square root of 5646212382976 is 2376176.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5646212382971) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 9618760155 + ... + 9618760741.

Almost surely, 2^{5646212382976} is an apocalyptic number.

5646212382976 is the 2376176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5646212382976

5646212382976 is an abundant number, since it is smaller than the sum of its proper divisors (7326009187647).

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

5646212382976 is an frugal number, since it uses more digits than its factorization.

5646212382976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 623 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 61.

The spelling of 5646212382976 in words is "five trillion, six hundred forty-six billion, two hundred twelve million, three hundred eighty-two thousand, nine hundred seventy-six".