361936998544 has 105 divisors (see below), whose sum is σ = 778264954441. Its totient is φ = 163060916480.

The previous prime is 361936998523. The next prime is 361936998571. The reversal of 361936998544 is 445899639163.

The square root of 361936998544 is 601612.

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., 6377619600 + 355559378944 = 79860^2 + 596288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 361936998544.

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 20 ways as a sum of consecutive naturals, for example, 3202982232 + ... + 3202982344.

Almost surely, 2^361936998544 is an apocalyptic number.

361936998544 is the 601612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361936998544

361936998544 is an abundant number, since it is smaller than the sum of its proper divisors (416327955897).

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

361936998544 is an frugal number, since it uses more digits than its factorization.

361936998544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 126 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 67.

The spelling of 361936998544 in words is "three hundred sixty-one billion, nine hundred thirty-six million, nine hundred ninety-eight thousand, five hundred forty-four".