8331448320 has 832 divisors, whose sum is σ = 34126982400. Its totient is φ = 1911029760.

The previous prime is 8331448231. The next prime is 8331448361. The reversal of 8331448320 is 238441338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×8331448320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 136581090 + ... + 136581150.

Almost surely, 2^8331448320 is an apocalyptic number.

8331448320 is a gapful number since it is divisible by the number (80) 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 8331448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17063491200).

8331448320 is an abundant number, since it is smaller than the sum of its proper divisors (25795534080).

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

8331448320 is a wasteful number, since it uses less digits than its factorization.

8331448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8331448320 is about 91276.7676903603. The cubic root of 8331448320 is about 2027.2477865720.

Adding to 8331448320 its reverse (238441338), we get a palindrome (8569889658).

The spelling of 8331448320 in words is "eight billion, three hundred thirty-one million, four hundred forty-eight thousand, three hundred twenty".