11288631312 has 240 divisors, whose sum is σ = 39340993920. Its totient is φ = 3035363328.

The previous prime is 11288631283. The next prime is 11288631317. The reversal of 11288631312 is 21313688211.

11288631312 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 8 + 631 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11288631317) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 867478 + ... + 880394.

It is an arithmetic number, because the mean of its divisors is an integer number (163920808).

Almost surely, 2^11288631312 is an apocalyptic number.

11288631312 is a gapful number since it is divisible by the number (12) 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 11288631312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670496960).

11288631312 is an abundant number, since it is smaller than the sum of its proper divisors (28052362608).

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

11288631312 is a wasteful number, since it uses less digits than its factorization.

11288631312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12975 (or 12946 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 11288631312 in words is "eleven billion, two hundred eighty-eight million, six hundred thirty-one thousand, three hundred twelve".