8481114863424 has 448 divisors, whose sum is σ = 30064418611200. Its totient is φ = 2290287052800.

The previous prime is 8481114863357. The next prime is 8481114863447. The reversal of 8481114863424 is 4243684111848.

8481114863424 is a `hidden beast` number, since 8 + 4 + 8 + 11 + 148 + 63 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×8481114863424³ (a number of 40 digits) contains 333 as substring.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99011334 + ... + 99096954.

Almost surely, 2^{8481114863424} is an apocalyptic number.

8481114863424 is a gapful number since it is divisible by the number (84) 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 8481114863424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032209305600).

8481114863424 is an abundant number, since it is smaller than the sum of its proper divisors (21583303747776).

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

8481114863424 is a wasteful number, since it uses less digits than its factorization.

8481114863424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86099 (or 86083 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 8481114863424 in words is "eight trillion, four hundred eighty-one billion, one hundred fourteen million, eight hundred sixty-three thousand, four hundred twenty-four".