361143335456 has 96 divisors (see below), whose sum is σ = 759324993840. Its totient is φ = 168751005696.

The previous prime is 361143335453. The next prime is 361143335461. The reversal of 361143335456 is 654533341163.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 193322019856 + 167821315600 = 439684^2 + 409660^2 .

It is not an unprimeable number, because it can be changed into a prime (361143335453) 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 in 15 ways as a sum of consecutive naturals, for example, 6599600 + ... + 6654096.

Almost surely, 2^361143335456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361143335456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379662496920).

361143335456 is an abundant number, since it is smaller than the sum of its proper divisors (398181658384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361143335456 is a wasteful number, since it uses less digits than its factorization.

361143335456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54766 (or 54758 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 44.

The spelling of 361143335456 in words is "three hundred sixty-one billion, one hundred forty-three million, three hundred thirty-five thousand, four hundred fifty-six".