8447291349120 has 2048 divisors, whose sum is σ = 34111469952000. Its totient is φ = 1998339932160.

The previous prime is 8447291349083. The next prime is 8447291349149. The reversal of 8447291349120 is 219431927448.

8447291349120 is a `hidden beast` number, since 8 + 4 + 4 + 7 + 291 + 349 + 1 + 2 + 0 = 666.

It is a super-3 number, since 3×8447291349120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 126078975327 + ... + 126078975393.

Almost surely, 2^{8447291349120} is an apocalyptic number.

8447291349120 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 8447291349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055734976000).

8447291349120 is an abundant number, since it is smaller than the sum of its proper divisors (25664178602880).

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

8447291349120 is an frugal number, since it uses more digits than its factorization.

8447291349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8447291349120 in words is "eight trillion, four hundred forty-seven billion, two hundred ninety-one million, three hundred forty-nine thousand, one hundred twenty".