11630443968 has 560 divisors, whose sum is σ = 41977726560. Its totient is φ = 3135283200.

The previous prime is 11630443949. The next prime is 11630443969. The reversal of 11630443968 is 86934403611.

11630443968 is a `hidden beast` number, since 1 + 1 + 630 + 4 + 4 + 3 + 9 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11630443969) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21497778 + ... + 21498318.

It is an arithmetic number, because the mean of its divisors is an integer number (74960226).

Almost surely, 2^11630443968 is an apocalyptic number.

11630443968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11630443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20988863280).

11630443968 is an abundant number, since it is smaller than the sum of its proper divisors (30347282592).

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

11630443968 is a wasteful number, since it uses less digits than its factorization.

11630443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 11630443968 in words is "eleven billion, six hundred thirty million, four hundred forty-three thousand, nine hundred sixty-eight".