11031681216 has 112 divisors (see below), whose sum is σ = 29516832000. Its totient is φ = 3636052992.

The previous prime is 11031681179. The next prime is 11031681247. The reversal of 11031681216 is 61218613011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6838426 + ... + 6840038.

Almost surely, 2^11031681216 is an apocalyptic number.

11031681216 is a gapful number since it is divisible by the number (16) 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 11031681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14758416000).

11031681216 is an abundant number, since it is smaller than the sum of its proper divisors (18485150784).

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

11031681216 is a wasteful number, since it uses less digits than its factorization.

11031681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 11031681216 in words is "eleven billion, thirty-one million, six hundred eighty-one thousand, two hundred sixteen".