361469072275600 has 45 divisors (see below), whose sum is σ = 868430359686027. Its totient is φ = 144587476811520.

The previous prime is 361469072275579. The next prime is 361469072275613. The reversal of 361469072275600 is 6572270964163.

The square root of 361469072275600 is 19012340.

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

It can be written as a sum of positive squares in 4 ways, for example, as 177972355434384 + 183496716841216 = 13340628^2 + 13546096^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 379771492 + ... + 380722108.

Almost surely, 2^{361469072275600} is an apocalyptic number.

361469072275600 is the 19012340-th square number.

It is an amenable number.

361469072275600 is an abundant number, since it is smaller than the sum of its proper divisors (506961287410427).

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

361469072275600 is an frugal number, since it uses more digits than its factorization.

361469072275600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901252 (or 950624 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 361469072275600 in words is "three hundred sixty-one trillion, four hundred sixty-nine billion, seventy-two million, two hundred seventy-five thousand, six hundred".