9331141248 has 512 divisors, whose sum is σ = 32901120000. Its totient is φ = 2566287360.

The previous prime is 9331141247. The next prime is 9331141249. The reversal of 9331141248 is 8421411339.

It is an interprime number because it is at equal distance from previous prime (9331141247) and next prime (9331141249).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9331141247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39042313 + ... + 39042551.

It is an arithmetic number, because the mean of its divisors is an integer number (64260000).

Almost surely, 2^9331141248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9331141248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560000).

9331141248 is an abundant number, since it is smaller than the sum of its proper divisors (23569978752).

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

9331141248 is a wasteful number, since it uses less digits than its factorization.

9331141248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9331141248 is about 96597.8325222673. The cubic root of 9331141248 is about 2105.2883529883.

The spelling of 9331141248 in words is "nine billion, three hundred thirty-one million, one hundred forty-one thousand, two hundred forty-eight".