1369833819201 has 81 divisors (see below), whose sum is σ = 2147251984059. Its totient is φ = 841338980352.

The previous prime is 1369833819191. The next prime is 1369833819229. The reversal of 1369833819201 is 1029183389631.

The square root of 1369833819201 is 1170399.

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

1369833819201 is a `hidden beast` number, since 1 + 3 + 6 + 98 + 338 + 19 + 201 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 575375346225 + 794458472976 = 758535^2 + 891324^2 .

It is not a de Polignac number, because 1369833819201 - 2²⁹ = 1369296948289 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1369833819241) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3163588281 + ... + 3163588713.

Almost surely, 2^{1369833819201} is an apocalyptic number.

1369833819201 is the 1170399-th square number.

1369833819201 is the 585200-th centered octagonal number.

It is an amenable number.

1369833819201 is a deficient number, since it is larger than the sum of its proper divisors (777418164858).

1369833819201 is an frugal number, since it uses more digits than its factorization.

1369833819201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1369833819201 in words is "one trillion, three hundred sixty-nine billion, eight hundred thirty-three million, eight hundred nineteen thousand, two hundred one".