328293196412769 has 189 divisors, whose sum is σ = 588696684508611. Its totient is φ = 182455500900960.

The previous prime is 328293196412723. The next prime is 328293196412771. The reversal of 328293196412769 is 967214691392823.

The square root of 328293196412769 is 18118863.

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

328293196412769 is a `hidden beast` number, since 3 + 2 + 8 + 29 + 31 + 96 + 412 + 76 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 293761260486225 + 34531935926544 = 17139465^2 + 5876388^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is not a de Polignac number, because 328293196412769 - 2⁷ = 328293196412641 is a prime.

It is a super-2 number, since 2×328293196412769² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 328293196412697 and 328293196412706.

It is not an unprimeable number, because it can be changed into a prime (328293196413769) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 126705207664 + ... + 126705210254.

Almost surely, 2^{328293196412769} is an apocalyptic number.

328293196412769 is the 18118863-rd square number.

328293196412769 is the 9059432-nd centered octagonal number.

It is an amenable number.

328293196412769 is a deficient number, since it is larger than the sum of its proper divisors (260403488095842).

328293196412769 is an frugal number, since it uses more digits than its factorization.

328293196412769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 2638 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 328293196412769 in words is "three hundred twenty-eight trillion, two hundred ninety-three billion, one hundred ninety-six million, four hundred twelve thousand, seven hundred sixty-nine".