11630321122365 has 192 divisors, whose sum is σ = 24164589496320. Its totient is φ = 5108038848000.

The previous prime is 11630321122339. The next prime is 11630321122367. The reversal of 11630321122365 is 56322112303611.

11630321122365 is a `hidden beast` number, since 1 + 1 + 6 + 303 + 2 + 112 + 236 + 5 = 666.

It is not a de Polignac number, because 11630321122365 - 2⁵ = 11630321122333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630321122367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 720537195 + ... + 720553335.

It is an arithmetic number, because the mean of its divisors is an integer number (125857236960).

Almost surely, 2^{11630321122365} is an apocalyptic number.

11630321122365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11630321122365 is an abundant number, since it is smaller than the sum of its proper divisors (12534268373955).

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

11630321122365 is a wasteful number, since it uses less digits than its factorization.

11630321122365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19536 (or 19533 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Adding to 11630321122365 its reverse (56322112303611), we get a palindrome (67952433425976).

The spelling of 11630321122365 in words is "eleven trillion, six hundred thirty billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred sixty-five".