1328418452592 has 480 divisors, whose sum is σ = 4802960448000. Its totient is φ = 332587100160.

The previous prime is 1328418452579. The next prime is 1328418452611. The reversal of 1328418452592 is 2952548148231.

1328418452592 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 1 + 8 + 45 + 2 + 592 = 666.

It is a congruent number.

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, 211899634 + ... + 211905902.

It is an arithmetic number, because the mean of its divisors is an integer number (10006167600).

Almost surely, 2^{1328418452592} is an apocalyptic number.

1328418452592 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 1328418452592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401480224000).

1328418452592 is an abundant number, since it is smaller than the sum of its proper divisors (3474541995408).

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

1328418452592 is a wasteful number, since it uses less digits than its factorization.

1328418452592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6980 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 1328418452592 in words is "one trillion, three hundred twenty-eight billion, four hundred eighteen million, four hundred fifty-two thousand, five hundred ninety-two".