1304643684100 has 27 divisors (see below), whose sum is σ = 2831101580671. Its totient is φ = 521852904800.

The previous prime is 1304643684077. The next prime is 1304643684133. The reversal of 1304643684100 is 14863464031.

The square root of 1304643684100 is 1142210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16945270276 + 1287698413824 = 130174^2 + 1134768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11364990 + ... + 11479210.

Almost surely, 2^{1304643684100} is an apocalyptic number.

1304643684100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1304643684100 is the 1142210-th square number.

It is an amenable number.

1304643684100 is an abundant number, since it is smaller than the sum of its proper divisors (1526457896571).

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

1304643684100 is an frugal number, since it uses more digits than its factorization.

1304643684100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228456 (or 114228 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 1304643684100 in words is "one trillion, three hundred four billion, six hundred forty-three million, six hundred eighty-four thousand, one hundred".