1304173136016 has 135 divisors (see below), whose sum is σ = 3715087418809. Its totient is φ = 427091223936.

The previous prime is 1304173135987. The next prime is 1304173136023. The reversal of 1304173136016 is 6106313714031.

The square root of 1304173136016 is 1142004.

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

1304173136016 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 17 + 31 + 3 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 814867290000 + 489305846016 = 902700^2 + 699504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 26 ways as a sum of consecutive naturals, for example, 808538026 + ... + 808539638.

Almost surely, 2^{1304173136016} is an apocalyptic number.

1304173136016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1304173136016 is the 1142004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304173136016

1304173136016 is an abundant number, since it is smaller than the sum of its proper divisors (2410914282793).

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

1304173136016 is an frugal number, since it uses more digits than its factorization.

1304173136016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 1304173136016 by its sum of digits (36), we get a square (46950232896576 = 6852024²).

1304173136016 divided by its sum of digits (36) gives a square (36227031556 = 190334²).

The spelling of 1304173136016 in words is "one trillion, three hundred four billion, one hundred seventy-three million, one hundred thirty-six thousand, sixteen".