361085617216 has 63 divisors (see below), whose sum is σ = 740694420183. Its totient is φ = 174646738560.

The previous prime is 361085617183. The next prime is 361085617231. The reversal of 361085617216 is 612716580163.

It is a happy number.

The square root of 361085617216 is 600904.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149022981 + ... + 149025403.

Almost surely, 2^361085617216 is an apocalyptic number.

361085617216 is the 600904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361085617216

361085617216 is an abundant number, since it is smaller than the sum of its proper divisors (379608802967).

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

361085617216 is an frugal number, since it uses more digits than its factorization.

361085617216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 361085617216 in words is "three hundred sixty-one billion, eighty-five million, six hundred seventeen thousand, two hundred sixteen".