363136000000 has 196 divisors, whose sum is σ = 908092946574. Its totient is φ = 145203200000.

The previous prime is 363135999977. The next prime is 363136000013. The reversal of 363136000000 is 631363.

It is a happy number.

It can be written as a sum of positive squares in 7 ways, for example, as 293642604544 + 69493395456 = 541888^2 + 263616^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 127998582 + ... + 128001418.

Almost surely, 2^363136000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363136000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454046473287).

363136000000 is an abundant number, since it is smaller than the sum of its proper divisors (544956946574).

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

363136000000 is an frugal number, since it uses more digits than its factorization.

363136000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 363136000000 its reverse (631363), we get a palindrome (363136631363).

It can be divided in two parts, 36 and 3136000000, that multiplied together give a square (112896000000 = 336000²).

The spelling of 363136000000 in words is "three hundred sixty-three billion, one hundred thirty-six million", and thus it is an aban number.