11214382320 has 480 divisors, whose sum is σ = 40947379200. Its totient is φ = 2743234560.

The previous prime is 11214382271. The next prime is 11214382351. The reversal of 11214382320 is 2328341211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56353581 + ... + 56353779.

It is an arithmetic number, because the mean of its divisors is an integer number (85307040).

Almost surely, 2^11214382320 is an apocalyptic number.

11214382320 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 11214382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

11214382320 is an abundant number, since it is smaller than the sum of its proper divisors (29732996880).

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

11214382320 is a wasteful number, since it uses less digits than its factorization.

11214382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11214382320 in words is "eleven billion, two hundred fourteen million, three hundred eighty-two thousand, three hundred twenty".