11631247328 has 48 divisors (see below), whose sum is σ = 24264051840. Its totient is φ = 5473008000.

The previous prime is 11631247307. The next prime is 11631247349. The reversal of 11631247328 is 82374213611.

It is an interprime number because it is at equal distance from previous prime (11631247307) and next prime (11631247349).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 11631247291 and 11631247300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28463 + ... + 155153.

It is an arithmetic number, because the mean of its divisors is an integer number (505501080).

Almost surely, 2^11631247328 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 11631247328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132025920).

11631247328 is an abundant number, since it is smaller than the sum of its proper divisors (12632804512).

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

11631247328 is a wasteful number, since it uses less digits than its factorization.

11631247328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126871 (or 126863 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The spelling of 11631247328 in words is "eleven billion, six hundred thirty-one million, two hundred forty-seven thousand, three hundred twenty-eight".