1282707474048 has 2560 divisors, whose sum is σ = 5529362227200. Its totient is φ = 287911895040.

The previous prime is 1282707474029. The next prime is 1282707474049. The reversal of 1282707474048 is 8404747072821.

1282707474048 is a `hidden beast` number, since 128 + 2 + 7 + 0 + 7 + 474 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1282707473985 and 1282707474003.

It is not an unprimeable number, because it can be changed into a prime (1282707474049) 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 319 ways as a sum of consecutive naturals, for example, 27291648361 + ... + 27291648407.

It is an arithmetic number, because the mean of its divisors is an integer number (2159907120).

Almost surely, 2^{1282707474048} is an apocalyptic number.

1282707474048 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 1282707474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764681113600).

1282707474048 is an abundant number, since it is smaller than the sum of its proper divisors (4246654753152).

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

1282707474048 is a wasteful number, since it uses less digits than its factorization.

1282707474048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 106 counting only the distinct ones).

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

The spelling of 1282707474048 in words is "one trillion, two hundred eighty-two billion, seven hundred seven million, four hundred seventy-four thousand, forty-eight".