1304144630646 has 192 divisors, whose sum is σ = 3271286684160. Its totient is φ = 342398085120.

The previous prime is 1304144630641. The next prime is 1304144630717. The reversal of 1304144630646 is 6460364414031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1304144630598 and 1304144630607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304144630641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70718295 + ... + 70736733.

It is an arithmetic number, because the mean of its divisors is an integer number (17037951480).

Almost surely, 2^{1304144630646} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304144630646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635643342080).

1304144630646 is an abundant number, since it is smaller than the sum of its proper divisors (1967142053514).

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

1304144630646 is a wasteful number, since it uses less digits than its factorization.

1304144630646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18871 (or 18858 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 1304144630646 in words is "one trillion, three hundred four billion, one hundred forty-four million, six hundred thirty thousand, six hundred forty-six".