11329216032 has 96 divisors (see below), whose sum is σ = 31372185600. Its totient is φ = 3569902848.

The previous prime is 11329216027. The next prime is 11329216061. The reversal of 11329216032 is 23061292311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11329216032² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867213 + ... + 880179.

It is an arithmetic number, because the mean of its divisors is an integer number (326793600).

Almost surely, 2^11329216032 is an apocalyptic number.

11329216032 is a gapful number since it is divisible by the number (12) 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 11329216032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686092800).

11329216032 is an abundant number, since it is smaller than the sum of its proper divisors (20042969568).

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

11329216032 is a wasteful number, since it uses less digits than its factorization.

11329216032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13478 (or 13470 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 11329216032 in words is "eleven billion, three hundred twenty-nine million, two hundred sixteen thousand, thirty-two".