1282291786368 has 128 divisors (see below), whose sum is σ = 3791106624000. Its totient is φ = 426689150976.

The previous prime is 1282291786339. The next prime is 1282291786499. The reversal of 1282291786368 is 8636871922821.

1282291786368 is a `hidden beast` number, since 1 + 2 + 82 + 29 + 178 + 6 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 1672593 + ... + 2315631.

It is an arithmetic number, because the mean of its divisors is an integer number (29618020500).

Almost surely, 2^{1282291786368} is an apocalyptic number.

1282291786368 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 1282291786368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895553312000).

1282291786368 is an abundant number, since it is smaller than the sum of its proper divisors (2508814837632).

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

1282291786368 is an equidigital number, since it uses as much as digits as its factorization.

1282291786368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643639 (or 643621 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 1282291786368 in words is "one trillion, two hundred eighty-two billion, two hundred ninety-one million, seven hundred eighty-six thousand, three hundred sixty-eight".