8014844102500 has 135 divisors (see below), whose sum is σ = 17977789893063. Its totient is φ = 3125479200000.

The previous prime is 8014844102497. The next prime is 8014844102563. The reversal of 8014844102500 is 52014484108.

The square root of 8014844102500 is 2831050.

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

It can be written as a sum of positive squares in 22 ways, for example, as 3148019838756 + 4866824263744 = 1774266^2 + 2206088^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8014844102500.

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 44 ways as a sum of consecutive naturals, for example, 5803651810 + ... + 5803653190.

Almost surely, 2^{8014844102500} is an apocalyptic number.

8014844102500 is the 2831050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8014844102500

8014844102500 is an abundant number, since it is smaller than the sum of its proper divisors (9962945790563).

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

8014844102500 is an frugal number, since it uses more digits than its factorization.

8014844102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

Adding to 8014844102500 its reverse (52014484108), we get a palindrome (8066858586608).

The spelling of 8014844102500 in words is "eight trillion, fourteen billion, eight hundred forty-four million, one hundred two thousand, five hundred".