361958400049 has 2 divisors, whose sum is σ = 361958400050. Its totient is φ = 361958400048.

The previous prime is 361958399977. The next prime is 361958400059. The reversal of 361958400049 is 940004859163.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 285861315600 + 76097084449 = 534660^2 + 275857^2 .

It is a cyclic number.

It is not a de Polignac number, because 361958400049 - 2¹³ = 361958391857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 361958399975 and 361958400011.

It is not a weakly prime, because it can be changed into another prime (361958400059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 180979200024 + 180979200025.

It is an arithmetic number, because the mean of its divisors is an integer number (180979200025).

Almost surely, 2^361958400049 is an apocalyptic number.

It is an amenable number.

361958400049 is a deficient number, since it is larger than the sum of its proper divisors (1).

361958400049 is an equidigital number, since it uses as much as digits as its factorization.

361958400049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 361958400049 in words is "three hundred sixty-one billion, nine hundred fifty-eight million, four hundred thousand, forty-nine".