8414448666624 has 3456 divisors, whose sum is σ = 36540912844800. Its totient is φ = 1896219279360.

The previous prime is 8414448666599. The next prime is 8414448666661. The reversal of 8414448666624 is 4266668444148.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×8414448666624² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66255501249 + ... + 66255501375.

It is an arithmetic number, because the mean of its divisors is an integer number (10573180800).

Almost surely, 2^{8414448666624} is an apocalyptic number.

8414448666624 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 8414448666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270456422400).

8414448666624 is an abundant number, since it is smaller than the sum of its proper divisors (28126464178176).

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

8414448666624 is a wasteful number, since it uses less digits than its factorization.

8414448666624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 182 counting only the distinct ones).

The product of its digits is 169869312, while the sum is 63.

The spelling of 8414448666624 in words is "eight trillion, four hundred fourteen billion, four hundred forty-eight million, six hundred sixty-six thousand, six hundred twenty-four".