3645201456401 has 2 divisors, whose sum is σ = 3645201456402. Its totient is φ = 3645201456400.

The previous prime is 3645201456361. The next prime is 3645201456409. The reversal of 3645201456401 is 1046541025463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2909586474001 + 735614982400 = 1705751^2 + 857680^2 .

It is a cyclic number.

It is not a de Polignac number, because 3645201456401 - 2¹⁴ = 3645201440017 is a prime.

It is not a weakly prime, because it can be changed into another prime (3645201456409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1822600728200 + 1822600728201.

It is an arithmetic number, because the mean of its divisors is an integer number (1822600728201).

Almost surely, 2^{3645201456401} is an apocalyptic number.

It is an amenable number.

3645201456401 is a deficient number, since it is larger than the sum of its proper divisors (1).

3645201456401 is an equidigital number, since it uses as much as digits as its factorization.

3645201456401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 345600, while the sum is 41.

The spelling of 3645201456401 in words is "three trillion, six hundred forty-five billion, two hundred one million, four hundred fifty-six thousand, four hundred one".