1282474747008 has 1536 divisors, whose sum is σ = 4904175144960. Its totient is φ = 324672012288.

The previous prime is 1282474746991. The next prime is 1282474747009. The reversal of 1282474747008 is 8007474742821.

1282474747008 is a `hidden beast` number, since 12 + 82 + 47 + 47 + 470 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1282474747009) 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 191 ways as a sum of consecutive naturals, for example, 12451211085 + ... + 12451211187.

It is an arithmetic number, because the mean of its divisors is an integer number (3192822360).

Almost surely, 2^{1282474747008} is an apocalyptic number.

1282474747008 is a gapful number since it is divisible by the number (18) 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 1282474747008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452087572480).

1282474747008 is an abundant number, since it is smaller than the sum of its proper divisors (3621700397952).

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

1282474747008 is a wasteful number, since it uses less digits than its factorization.

1282474747008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5619712, while the sum is 54.

The spelling of 1282474747008 in words is "one trillion, two hundred eighty-two billion, four hundred seventy-four million, seven hundred forty-seven thousand, eight".