363413333201444 has 24 divisors (see below), whose sum is σ = 637630634058936. Its totient is φ = 181233253440000.

The previous prime is 363413333201441. The next prime is 363413333201473. The reversal of 363413333201444 is 444102333314363.

It can be written as a sum of positive squares in 4 ways, for example, as 87375045841444 + 276038287360000 = 9347462^2 + 16614400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 363413333201395 and 363413333201404.

It is not an unprimeable number, because it can be changed into a prime (363413333201441) 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 in 7 ways as a sum of consecutive naturals, for example, 1671254 + ... + 27011474.

It is an arithmetic number, because the mean of its divisors is an integer number (26567943085789).

Almost surely, 2^{363413333201444} is an apocalyptic number.

It is an amenable number.

363413333201444 is a deficient number, since it is larger than the sum of its proper divisors (274217300857492).

363413333201444 is a wasteful number, since it uses less digits than its factorization.

363413333201444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25349567 (or 25349565 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 44.

The spelling of 363413333201444 in words is "three hundred sixty-three trillion, four hundred thirteen billion, three hundred thirty-three million, two hundred one thousand, four hundred forty-four".