1328691567168 has 1008 divisors, whose sum is σ = 4818157943040. Its totient is φ = 357833355264.

The previous prime is 1328691567149. The next prime is 1328691567169. The reversal of 1328691567168 is 8617651968231.

1328691567168 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 6 + 9 + 1 + 567 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1328691567169) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3346829946 + ... + 3346830342.

Almost surely, 2^{1328691567168} is an apocalyptic number.

1328691567168 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 1328691567168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409078971520).

1328691567168 is an abundant number, since it is smaller than the sum of its proper divisors (3489466375872).

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

1328691567168 is a wasteful number, since it uses less digits than its factorization.

1328691567168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 485 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 1328691567168 in words is "one trillion, three hundred twenty-eight billion, six hundred ninety-one million, five hundred sixty-seven thousand, one hundred sixty-eight".