8282261699712 has 384 divisors, whose sum is σ = 31999651931520. Its totient is φ = 1985756774400.

The previous prime is 8282261699689. The next prime is 8282261699741. The reversal of 8282261699712 is 2179961622828.

8282261699712 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 2 + 616 + 9 + 9 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 8282261699712.

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 47 ways as a sum of consecutive naturals, for example, 2437989 + ... + 4744292.

It is an arithmetic number, because the mean of its divisors is an integer number (83332426905).

Almost surely, 2^{8282261699712} is an apocalyptic number.

It is an amenable number.

8282261699712 is an abundant number, since it is smaller than the sum of its proper divisors (23717390231808).

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

8282261699712 is a wasteful number, since it uses less digits than its factorization.

8282261699712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182332 (or 7182317 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 63.

The spelling of 8282261699712 in words is "eight trillion, two hundred eighty-two billion, two hundred sixty-one million, six hundred ninety-nine thousand, seven hundred twelve".