1005743366012 has 96 divisors (see below), whose sum is σ = 2206158528000. Its totient is φ = 389742762240.

The previous prime is 1005743366003. The next prime is 1005743366027. The reversal of 1005743366012 is 2106633475001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75392039 + ... + 75405377.

It is an arithmetic number, because the mean of its divisors is an integer number (22980818000).

Almost surely, 2^{1005743366012} 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 1005743366012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103079264000).

1005743366012 is an abundant number, since it is smaller than the sum of its proper divisors (1200415161988).

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

1005743366012 is a wasteful number, since it uses less digits than its factorization.

1005743366012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14659 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The spelling of 1005743366012 in words is "one trillion, five billion, seven hundred forty-three million, three hundred sixty-six thousand, twelve".