8432916816000 has 256 divisors, whose sum is σ = 27966978299520. Its totient is φ = 2247823872000.

The previous prime is 8432916815929. The next prime is 8432916816013. The reversal of 8432916816000 is 6186192348.

It is a super-2 number, since 2×8432916816000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116939955 + ... + 117012045.

Almost surely, 2^{8432916816000} is an apocalyptic number.

8432916816000 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 8432916816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13983489149760).

8432916816000 is an abundant number, since it is smaller than the sum of its proper divisors (19534061483520).

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

8432916816000 is a wasteful number, since it uses less digits than its factorization.

8432916816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74560 (or 74538 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 8432916816000 in words is "eight trillion, four hundred thirty-two billion, nine hundred sixteen million, eight hundred sixteen thousand".