2401600144661 has 2 divisors, whose sum is σ = 2401600144662. Its totient is φ = 2401600144660.

The previous prime is 2401600144637. The next prime is 2401600144717. The reversal of 2401600144661 is 1664410061042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2401588686436 + 11458225 = 1549706^2 + 3385^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2401600144661 is a prime.

It is a super-2 number, since 2×2401600144661² (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2401600144261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200800072330 + 1200800072331.

It is an arithmetic number, because the mean of its divisors is an integer number (1200800072331).

Almost surely, 2^{2401600144661} is an apocalyptic number.

It is an amenable number.

2401600144661 is a deficient number, since it is larger than the sum of its proper divisors (1).

2401600144661 is an equidigital number, since it uses as much as digits as its factorization.

2401600144661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 2401600144661 in words is "two trillion, four hundred one billion, six hundred million, one hundred forty-four thousand, six hundred sixty-one".