11630843920384 has 288 divisors, whose sum is σ = 25637635731456. Its totient is φ = 5243865661440.

The previous prime is 11630843920363. The next prime is 11630843920387. The reversal of 11630843920384 is 48302934803611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (11630843920387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15364390534 + ... + 15364391290.

It is an arithmetic number, because the mean of its divisors is an integer number (89019568512).

Almost surely, 2^{11630843920384} 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 11630843920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12818817865728).

11630843920384 is an abundant number, since it is smaller than the sum of its proper divisors (14006791811072).

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

11630843920384 is an frugal number, since it uses more digits than its factorization.

11630843920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 11630843920384 in words is "eleven trillion, six hundred thirty billion, eight hundred forty-three million, nine hundred twenty thousand, three hundred eighty-four".