361460678656 has 405 divisors, whose sum is σ = 939722269941. Its totient is φ = 138520166400.

The previous prime is 361460678641. The next prime is 361460678659. The reversal of 361460678656 is 656876064163.

The square root of 361460678656 is 601216.

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

It can be written as a sum of positive squares in only one way, i.e., 11754029056 + 349706649600 = 108416^2 + 591360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 361460678656.

It is not an unprimeable number, because it can be changed into a prime (361460678659) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 5925584866 + ... + 5925584926.

Almost surely, 2^361460678656 is an apocalyptic number.

361460678656 is the 601216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361460678656

361460678656 is an abundant number, since it is smaller than the sum of its proper divisors (578261591285).

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

361460678656 is an frugal number, since it uses more digits than its factorization.

361460678656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 361460678656 in words is "three hundred sixty-one billion, four hundred sixty million, six hundred seventy-eight thousand, six hundred fifty-six".