8457642216000 has 1568 divisors, whose sum is σ = 33372207697920. Its totient is φ = 2116316160000.

The previous prime is 8457642215959. The next prime is 8457642216013. The reversal of 8457642216000 is 6122467548.

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

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 14072615700 + ... + 14072616300.

Almost surely, 2^{8457642216000} is an apocalyptic number.

8457642216000 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 8457642216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16686103848960).

8457642216000 is an abundant number, since it is smaller than the sum of its proper divisors (24914565481920).

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

8457642216000 is a wasteful number, since it uses less digits than its factorization.

8457642216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 8457642216000 in words is "eight trillion, four hundred fifty-seven billion, six hundred forty-two million, two hundred sixteen thousand".