1017146985768 has 192 divisors, whose sum is σ = 2949303552000. Its totient is φ = 324772664832.

The previous prime is 1017146985691. The next prime is 1017146985847. The reversal of 1017146985768 is 8675896417101.

1017146985768 is a `hidden beast` number, since 1 + 0 + 17 + 1 + 46 + 9 + 8 + 576 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23048268 + ... + 23092356.

It is an arithmetic number, because the mean of its divisors is an integer number (15360956000).

Almost surely, 2^{1017146985768} is an apocalyptic number.

1017146985768 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 1017146985768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474651776000).

1017146985768 is an abundant number, since it is smaller than the sum of its proper divisors (1932156566232).

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

1017146985768 is a wasteful number, since it uses less digits than its factorization.

1017146985768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44289 (or 44250 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 1017146985768 in words is "one trillion, seventeen billion, one hundred forty-six million, nine hundred eighty-five thousand, seven hundred sixty-eight".