1012105768464 has 400 divisors, whose sum is σ = 3533434798080. Its totient is φ = 273220335360.

The previous prime is 1012105768441. The next prime is 1012105768469. The reversal of 1012105768464 is 4648675012101.

1012105768464 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 10 + 576 + 8 + 4 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (1012105768469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 66009279 + ... + 66024609.

Almost surely, 2^{1012105768464} is an apocalyptic number.

1012105768464 is a gapful number since it is divisible by the number (14) 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 1012105768464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766717399040).

1012105768464 is an abundant number, since it is smaller than the sum of its proper divisors (2521329029616).

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

1012105768464 is a wasteful number, since it uses less digits than its factorization.

1012105768464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15760 (or 15745 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1012105768464 in words is "one trillion, twelve billion, one hundred five million, seven hundred sixty-eight thousand, four hundred sixty-four".