11916631584 has 576 divisors, whose sum is σ = 42609490560. Its totient is φ = 3105423360.

The previous prime is 11916631583. The next prime is 11916631589. The reversal of 11916631584 is 48513661911.

11916631584 is a `hidden beast` number, since 1 + 1 + 9 + 1 + 6 + 63 + 1 + 584 = 666.

It is a super-2 number, since 2×11916631584² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11916631583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75902034 + ... + 75902190.

It is an arithmetic number, because the mean of its divisors is an integer number (73974810).

Almost surely, 2^11916631584 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 11916631584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304745280).

11916631584 is an abundant number, since it is smaller than the sum of its proper divisors (30692858976).

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

11916631584 is a wasteful number, since it uses less digits than its factorization.

11916631584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 302 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 11916631584 in words is "eleven billion, nine hundred sixteen million, six hundred thirty-one thousand, five hundred eighty-four".