363814048900 has 27 divisors (see below), whose sum is σ = 789489575119. Its totient is φ = 145523206880.

The previous prime is 363814048883. The next prime is 363814048909. The reversal of 363814048900 is 9840418363.

The square root of 363814048900 is 603170.

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 202055644036 + 161758404864 = 449506^2 + 402192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363814048909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6001542 + ... + 6061858.

Almost surely, 2^363814048900 is an apocalyptic number.

363814048900 is the 603170-th square number.

It is an amenable number.

363814048900 is an abundant number, since it is smaller than the sum of its proper divisors (425675526219).

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

363814048900 is an frugal number, since it uses more digits than its factorization.

363814048900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120648 (or 60324 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 363814048900 in words is "three hundred sixty-three billion, eight hundred fourteen million, forty-eight thousand, nine hundred".