11631320064 has 880 divisors, whose sum is σ = 45273220608. Its totient is φ = 2890432512.

The previous prime is 11631320047. The next prime is 11631320069. The reversal of 11631320064 is 46002313611.

11631320064 is a `hidden beast` number, since 1 + 1 + 631 + 3 + 20 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11631320069) 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, 173601759 + ... + 173601825.

Almost surely, 2^11631320064 is an apocalyptic number.

11631320064 is a gapful number since it is divisible by the number (14) 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 11631320064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22636610304).

11631320064 is an abundant number, since it is smaller than the sum of its proper divisors (33641900544).

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

11631320064 is a wasteful number, since it uses less digits than its factorization.

11631320064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11631320064 its reverse (46002313611), we get a palindrome (57633633675).

The spelling of 11631320064 in words is "eleven billion, six hundred thirty-one million, three hundred twenty thousand, sixty-four".