1006884313712 has 160 divisors (see below), whose sum is σ = 2147691110400. Its totient is φ = 455511859200.

The previous prime is 1006884313709. The next prime is 1006884313717. The reversal of 1006884313712 is 2173134886001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006884313717) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278373728 + ... + 278377344.

It is an arithmetic number, because the mean of its divisors is an integer number (13423069440).

Almost surely, 2^{1006884313712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006884313712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073845555200).

1006884313712 is an abundant number, since it is smaller than the sum of its proper divisors (1140806796688).

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

1006884313712 is a wasteful number, since it uses less digits than its factorization.

1006884313712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4055 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 1006884313712 in words is "one trillion, six billion, eight hundred eighty-four million, three hundred thirteen thousand, seven hundred twelve".