8126467282000 has 40 divisors (see below), whose sum is σ = 19649797892712. Its totient is φ = 3250586912000.

The previous prime is 8126467281983. The next prime is 8126467282007. The reversal of 8126467282000 is 2827646218.

It can be written as a sum of positive squares in 4 ways, for example, as 2364201459216 + 5762265822784 = 1537596^2 + 2400472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8126467282007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2031614821 + ... + 2031618820.

Almost surely, 2^{8126467282000} is an apocalyptic number.

8126467282000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8126467282000 is an abundant number, since it is smaller than the sum of its proper divisors (11523330610712).

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

8126467282000 is a wasteful number, since it uses less digits than its factorization.

8126467282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063233664 (or 4063233648 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 8126467282000 in words is "eight trillion, one hundred twenty-six billion, four hundred sixty-seven million, two hundred eighty-two thousand".