8512214838400 has 768 divisors, whose sum is σ = 26850843936000. Its totient is φ = 2593506263040.

The previous prime is 8512214838349. The next prime is 8512214838431. The reversal of 8512214838400 is 48384122158.

It is a super-2 number, since 2×8512214838400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3352584331 + ... + 3352586869.

It is an arithmetic number, because the mean of its divisors is an integer number (34962036375).

Almost surely, 2^{8512214838400} is an apocalyptic number.

8512214838400 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 8512214838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13425421968000).

8512214838400 is an abundant number, since it is smaller than the sum of its proper divisors (18338629097600).

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

8512214838400 is a wasteful number, since it uses less digits than its factorization.

8512214838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 8512214838400 in words is "eight trillion, five hundred twelve billion, two hundred fourteen million, eight hundred thirty-eight thousand, four hundred".