1017828384768 has 672 divisors, whose sum is σ = 3375577435776. Its totient is φ = 304427040768.

The previous prime is 1017828384767. The next prime is 1017828384773. The reversal of 1017828384768 is 8674838287101.

1017828384768 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 82 + 83 + 8 + 476 + 8 = 666.

It is a super-3 number, since 3×1017828384768³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1017828384767) 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 47 ways as a sum of consecutive naturals, for example, 957505005 + ... + 957506067.

It is an arithmetic number, because the mean of its divisors is an integer number (5023180708).

Almost surely, 2^{1017828384768} is an apocalyptic number.

1017828384768 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 1017828384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687788717888).

1017828384768 is an abundant number, since it is smaller than the sum of its proper divisors (2357749051008).

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

1017828384768 is an equidigital number, since it uses as much as digits as its factorization.

1017828384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 1017828384768 in words is "one trillion, seventeen billion, eight hundred twenty-eight million, three hundred eighty-four thousand, seven hundred sixty-eight".