1328548458231 has 64 divisors (see below), whose sum is σ = 2031526656000. Its totient is φ = 857625840000.

The previous prime is 1328548458179. The next prime is 1328548458233.

It is a happy number.

1328548458231 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 54 + 8 + 4 + 582 + 3 + 1 = 666.

1328548458231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1328548458231 - 2¹⁷ = 1328548327159 is a prime.

It is a super-3 number, since 3×1328548458231³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1328548458233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 217756081 + ... + 217762181.

It is an arithmetic number, because the mean of its divisors is an integer number (31742604000).

Almost surely, 2^{1328548458231} is an apocalyptic number.

1328548458231 is a deficient number, since it is larger than the sum of its proper divisors (702978197769).

1328548458231 is a wasteful number, since it uses less digits than its factorization.

1328548458231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7957 (or 7951 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 1328548458231 in words is "one trillion, three hundred twenty-eight billion, five hundred forty-eight million, four hundred fifty-eight thousand, two hundred thirty-one".