11631039804 has 240 divisors, whose sum is σ = 33194810880. Its totient is φ = 3537216000.

The previous prime is 11631039769. The next prime is 11631039811. The reversal of 11631039804 is 40893013611.

11631039804 is a `hidden beast` number, since 11 + 631 + 0 + 3 + 9 + 8 + 0 + 4 = 666.

11631039804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46338679 + ... + 46338929.

It is an arithmetic number, because the mean of its divisors is an integer number (138311712).

Almost surely, 2^11631039804 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 11631039804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597405440).

11631039804 is an abundant number, since it is smaller than the sum of its proper divisors (21563771076).

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

11631039804 is a wasteful number, since it uses less digits than its factorization.

11631039804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11631039804 in words is "eleven billion, six hundred thirty-one million, thirty-nine thousand, eight hundred four".