1336111745409 has 81 divisors (see below), whose sum is σ = 2370227931747. Its totient is φ = 723058939008.

The previous prime is 1336111745387. The next prime is 1336111745429. The reversal of 1336111745409 is 9045471116331.

The square root of 1336111745409 is 1155903.

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

1336111745409 is a `hidden beast` number, since 1 + 3 + 36 + 1 + 1 + 1 + 74 + 540 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151340450625 + 1184771294784 = 389025^2 + 1088472^2 .

It is not a de Polignac number, because 1336111745409 - 2⁹ = 1336111744897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1336111745429) 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, 461203849 + ... + 461206745.

Almost surely, 2^{1336111745409} is an apocalyptic number.

1336111745409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1336111745409 is the 1155903-rd square number.

1336111745409 is the 577952-nd centered octagonal number.

It is an amenable number.

1336111745409 is a deficient number, since it is larger than the sum of its proper divisors (1034116186338).

1336111745409 is an frugal number, since it uses more digits than its factorization.

1336111745409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5852 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1336111745409 in words is "one trillion, three hundred thirty-six billion, one hundred eleven million, seven hundred forty-five thousand, four hundred nine".