1328687319969 has 27 divisors (see below), whose sum is σ = 1928979503217. Its totient is φ = 881307594216.

The previous prime is 1328687319941. The next prime is 1328687319997. The reversal of 1328687319969 is 9699137868231.

The square root of 1328687319969 is 1152687.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1328687319941) and next prime (1328687319997).

It is not a de Polignac number, because 1328687319969 - 2⁵ = 1328687319937 is a prime.

It is a super-2 number, since 2×1328687319969² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1328687319897 and 1328687319906.

It is not an unprimeable number, because it can be changed into a prime (1320687319969) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 771146742 + ... + 771148464.

Almost surely, 2^{1328687319969} is an apocalyptic number.

1328687319969 is the 1152687-th square number.

1328687319969 is the 576344-th centered octagonal number.

It is an amenable number.

1328687319969 is a deficient number, since it is larger than the sum of its proper divisors (600292183248).

1328687319969 is an frugal number, since it uses more digits than its factorization.

1328687319969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3898 (or 1949 counting only the distinct ones).

The product of its digits is 211631616, while the sum is 72.

It can be divided in two parts, 1328687 and 319969, that added together give a square (1648656 = 1284²).

The spelling of 1328687319969 in words is "one trillion, three hundred twenty-eight billion, six hundred eighty-seven million, three hundred nineteen thousand, nine hundred sixty-nine".