8002086545284 has 192 divisors, whose sum is σ = 16897017396672. Its totient is φ = 3280999219200.

The previous prime is 8002086545249. The next prime is 8002086545293. The reversal of 8002086545284 is 4825456802008.

It can be written as a sum of positive squares in 32 ways, for example, as 3287977105284 + 4714109440000 = 1813278^2 + 2171200^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145621254 + ... + 145676194.

It is an arithmetic number, because the mean of its divisors is an integer number (88005298941).

Almost surely, 2^{8002086545284} is an apocalyptic number.

It is an amenable number.

8002086545284 is an abundant number, since it is smaller than the sum of its proper divisors (8894930851388).

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

8002086545284 is a wasteful number, since it uses less digits than its factorization.

8002086545284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55146 (or 55144 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 52.

The spelling of 8002086545284 in words is "eight trillion, two billion, eighty-six million, five hundred forty-five thousand, two hundred eighty-four".