8396224416000 has 216 divisors, whose sum is σ = 30212065383864. Its totient is φ = 2238993100800.

The previous prime is 8396224415987. The next prime is 8396224416053. The reversal of 8396224416000 is 6144226938.

8396224416000 is a `hidden beast` number, since 8 + 3 + 9 + 6 + 224 + 416 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 233729703936 + 8162494712064 = 483456^2 + 2857008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14288779 + ... + 14864778.

Almost surely, 2^{8396224416000} is an apocalyptic number.

8396224416000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8396224416000 is an abundant number, since it is smaller than the sum of its proper divisors (21815840967864).

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

8396224416000 is a wasteful number, since it uses less digits than its factorization.

8396224416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29153594 (or 29153567 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 8396224416000 in words is "eight trillion, three hundred ninety-six billion, two hundred twenty-four million, four hundred sixteen thousand".