11364848320 has 168 divisors, whose sum is σ = 32850697824. Its totient is φ = 3726987264.

The previous prime is 11364848303. The next prime is 11364848321. The reversal of 11364848320 is 2384846311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11364848321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344884 + ... + 376396.

It is an arithmetic number, because the mean of its divisors is an integer number (195539868).

Almost surely, 2^11364848320 is an apocalyptic number.

11364848320 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 11364848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425348912).

11364848320 is an abundant number, since it is smaller than the sum of its proper divisors (21485849504).

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

11364848320 is a wasteful number, since it uses less digits than its factorization.

11364848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31567 (or 31550 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 11364848320 in words is "eleven billion, three hundred sixty-four million, eight hundred forty-eight thousand, three hundred twenty".