11632711746084 has 216 divisors, whose sum is σ = 33909917569920. Its totient is φ = 3082645399680.

The previous prime is 11632711746077. The next prime is 11632711746109. The reversal of 11632711746084 is 48064711723611.

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 71 ways as a sum of consecutive naturals, for example, 5960677 + ... + 7667795.

It is an arithmetic number, because the mean of its divisors is an integer number (156990359120).

Almost surely, 2^{11632711746084} 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 11632711746084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16954958784960).

11632711746084 is an abundant number, since it is smaller than the sum of its proper divisors (22277205823836).

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

11632711746084 is a wasteful number, since it uses less digits than its factorization.

11632711746084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707199 (or 1707167 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 11632711746084 in words is "eleven trillion, six hundred thirty-two billion, seven hundred eleven million, seven hundred forty-six thousand, eighty-four".