1304233784832 has 160 divisors (see below), whose sum is σ = 3804126948864. Its totient is φ = 393794150400.

The previous prime is 1304233784779. The next prime is 1304233784857. The reversal of 1304233784832 is 2384873324031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4540857 + ... + 4819527.

Almost surely, 2^{1304233784832} is an apocalyptic number.

1304233784832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304233784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902063474432).

1304233784832 is an abundant number, since it is smaller than the sum of its proper divisors (2499893164032).

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

1304233784832 is a wasteful number, since it uses less digits than its factorization.

1304233784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278980 (or 278964 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 1304233784832 in words is "one trillion, three hundred four billion, two hundred thirty-three million, seven hundred eighty-four thousand, eight hundred thirty-two".