11631066732480 has 448 divisors, whose sum is σ = 40059790848000. Its totient is φ = 2842185646080.

The previous prime is 11631066732479. The next prime is 11631066732499. The reversal of 11631066732480 is 8423766013611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 1144897641 + ... + 1144907799.

It is an arithmetic number, because the mean of its divisors is an integer number (89419176000).

Almost surely, 2^{11631066732480} is an apocalyptic number.

11631066732480 is a gapful number since it is divisible by the number (10) 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 11631066732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20029895424000).

11631066732480 is an abundant number, since it is smaller than the sum of its proper divisors (28428724115520).

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

11631066732480 is a wasteful number, since it uses less digits than its factorization.

11631066732480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10852 (or 10842 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 11631066732480 in words is "eleven trillion, six hundred thirty-one billion, sixty-six million, seven hundred thirty-two thousand, four hundred eighty".