577446436228012 has 192 divisors, whose sum is σ = 1170161061027840. Its totient is φ = 247302778060800.

The previous prime is 577446436227953. The next prime is 577446436228021. The reversal of 577446436228012 is 210822634644775.

It is a happy number.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3976639513 + ... + 3976784719.

It is an arithmetic number, because the mean of its divisors is an integer number (6094588859520).

Almost surely, 2^{577446436228012} is an apocalyptic number.

577446436228012 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

577446436228012 is an abundant number, since it is smaller than the sum of its proper divisors (592714624799828).

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

577446436228012 is a wasteful number, since it uses less digits than its factorization.

577446436228012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145872 (or 145870 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 61.

The spelling of 577446436228012 in words is "five hundred seventy-seven trillion, four hundred forty-six billion, four hundred thirty-six million, two hundred twenty-eight thousand, twelve".