1325392346304 has 672 divisors, whose sum is σ = 4249721548800. Its totient is φ = 392429076480.

The previous prime is 1325392346297. The next prime is 1325392346321. The reversal of 1325392346304 is 4036432935231.

It is a happy number.

1325392346304 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 3 + 9 + 2 + 3 + 4 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1325392346304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6939226849 + ... + 6939227039.

It is an arithmetic number, because the mean of its divisors is an integer number (6323990400).

Almost surely, 2^{1325392346304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1325392346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124860774400).

1325392346304 is an abundant number, since it is smaller than the sum of its proper divisors (2924329202496).

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

1325392346304 is a wasteful number, since it uses less digits than its factorization.

1325392346304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 1325392346304 in words is "one trillion, three hundred twenty-five billion, three hundred ninety-two million, three hundred forty-six thousand, three hundred four".