3648061601801 has 2 divisors, whose sum is σ = 3648061601802. Its totient is φ = 3648061601800.

The previous prime is 3648061601783. The next prime is 3648061601803. The reversal of 3648061601801 is 1081061608463.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3429459534400 + 218602067401 = 1851880^2 + 467549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3648061601801 is a prime.

Together with 3648061601803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3648061601803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1824030800900 + 1824030800901.

It is an arithmetic number, because the mean of its divisors is an integer number (1824030800901).

Almost surely, 2^{3648061601801} is an apocalyptic number.

It is an amenable number.

3648061601801 is a deficient number, since it is larger than the sum of its proper divisors (1).

3648061601801 is an equidigital number, since it uses as much as digits as its factorization.

3648061601801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 3648061601801 in words is "three trillion, six hundred forty-eight billion, sixty-one million, six hundred one thousand, eight hundred one".