8214873145600 has 243 divisors, whose sum is σ = 22356463986871. Its totient is φ = 2986309427200.

The previous prime is 8214873145597. The next prime is 8214873145621. The reversal of 8214873145600 is 65413784128.

The square root of 8214873145600 is 2866160.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 525033566464 + 7689839579136 = 724592^2 + 2773056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2522219172 + ... + 2522222428.

Almost surely, 2^{8214873145600} is an apocalyptic number.

8214873145600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8214873145600 is the 2866160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214873145600

8214873145600 is an abundant number, since it is smaller than the sum of its proper divisors (14141590841271).

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

8214873145600 is an frugal number, since it uses more digits than its factorization.

8214873145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

Multiplying 8214873145600 by its sum of digits (49), we get a square (402528784134400 = 20063120²).

The spelling of 8214873145600 in words is "eight trillion, two hundred fourteen billion, eight hundred seventy-three million, one hundred forty-five thousand, six hundred".