1304189321952 has 96 divisors (see below), whose sum is σ = 3736594592640. Its totient is φ = 395010936320.

The previous prime is 1304189321947. The next prime is 1304189321969. The reversal of 1304189321952 is 2591239814031.

It is a tau number, because it is divible by the number of its divisors (96).

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 (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1806874 + ... + 2423462.

It is an arithmetic number, because the mean of its divisors is an integer number (38922860340).

Almost surely, 2^{1304189321952} is an apocalyptic number.

1304189321952 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 1304189321952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868297296320).

1304189321952 is an abundant number, since it is smaller than the sum of its proper divisors (2432405270688).

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

1304189321952 is a wasteful number, since it uses less digits than its factorization.

1304189321952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618616 (or 618608 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 1304189321952 in words is "one trillion, three hundred four billion, one hundred eighty-nine million, three hundred twenty-one thousand, nine hundred fifty-two".