1000312080768 has 2048 divisors, whose sum is σ = 4272868454400. Its totient is φ = 221679452160.

The previous prime is 1000312080763. The next prime is 1000312080793. The reversal of 1000312080768 is 8670802130001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000312080763) 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 255 ways as a sum of consecutive naturals, for example, 4293184780 + ... + 4293185012.

It is an arithmetic number, because the mean of its divisors is an integer number (2086361550).

Almost surely, 2^{1000312080768} is an apocalyptic number.

1000312080768 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 1000312080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136434227200).

1000312080768 is an abundant number, since it is smaller than the sum of its proper divisors (3272556373632).

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

1000312080768 is a wasteful number, since it uses less digits than its factorization.

1000312080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1000312080768 in words is "one trillion, three hundred twelve million, eighty thousand, seven hundred sixty-eight".