1328564498688 has 1296 divisors, whose sum is σ = 5040015402240. Its totient is φ = 341727952896.

The previous prime is 1328564498633. The next prime is 1328564498693. The reversal of 1328564498688 is 8868944658231.

1328564498688 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 56 + 4 + 498 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 57763673845 + ... + 57763673867.

Almost surely, 2^{1328564498688} is an apocalyptic number.

1328564498688 is a gapful number since it is divisible by the number (18) 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 1328564498688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520007701120).

1328564498688 is an abundant number, since it is smaller than the sum of its proper divisors (3711450903552).

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

1328564498688 is an frugal number, since it uses more digits than its factorization.

1328564498688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 52 counting only the distinct ones).

The product of its digits is 637009920, while the sum is 72.

The spelling of 1328564498688 in words is "one trillion, three hundred twenty-eight billion, five hundred sixty-four million, four hundred ninety-eight thousand, six hundred eighty-eight".