8531246949120 has 1296 divisors, whose sum is σ = 35745757669440. Its totient is φ = 1838040809472.

The previous prime is 8531246949013. The next prime is 8531246949151. The reversal of 8531246949120 is 219496421358.

It is a happy number.

8531246949120 is a `hidden beast` number, since 8 + 5 + 3 + 12 + 469 + 49 + 120 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4323996454 + ... + 4323998426.

It is an arithmetic number, because the mean of its divisors is an integer number (27581603140).

Almost surely, 2^{8531246949120} is an apocalyptic number.

8531246949120 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 8531246949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872878834720).

8531246949120 is an abundant number, since it is smaller than the sum of its proper divisors (27214510720320).

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

8531246949120 is a wasteful number, since it uses less digits than its factorization.

8531246949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8531246949120 in words is "eight trillion, five hundred thirty-one billion, two hundred forty-six million, nine hundred forty-nine thousand, one hundred twenty".