13649133978001 has 2 divisors, whose sum is σ = 13649133978002. Its totient is φ = 13649133978000.

The previous prime is 13649133977957. The next prime is 13649133978059. The reversal of 13649133978001 is 10087933194631.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13272898953601 + 376235024400 = 3643199^2 + 613380^2 .

It is a cyclic number.

It is not a de Polignac number, because 13649133978001 - 2⁹ = 13649133977489 is a prime.

It is not a weakly prime, because it can be changed into another prime (13649133973001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6824566989000 + 6824566989001.

It is an arithmetic number, because the mean of its divisors is an integer number (6824566989001).

Almost surely, 2^{13649133978001} is an apocalyptic number.

It is an amenable number.

13649133978001 is a deficient number, since it is larger than the sum of its proper divisors (1).

13649133978001 is an equidigital number, since it uses as much as digits as its factorization.

13649133978001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2939328, while the sum is 55.

The spelling of 13649133978001 in words is "thirteen trillion, six hundred forty-nine billion, one hundred thirty-three million, nine hundred seventy-eight thousand, one".