11631213888 has 336 divisors, whose sum is σ = 38916864000. Its totient is φ = 3045288960.

The previous prime is 11631213887. The next prime is 11631213899. The reversal of 11631213888 is 88831213611.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631213887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5540263 + ... + 5542361.

It is an arithmetic number, because the mean of its divisors is an integer number (115824000).

Almost surely, 2^11631213888 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 11631213888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19458432000).

11631213888 is an abundant number, since it is smaller than the sum of its proper divisors (27285650112).

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

11631213888 is a wasteful number, since it uses less digits than its factorization.

11631213888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2161 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The spelling of 11631213888 in words is "eleven billion, six hundred thirty-one million, two hundred thirteen thousand, eight hundred eighty-eight".