1006666946016 has 96 divisors (see below), whose sum is σ = 2657306066688. Its totient is φ = 333677076480.

The previous prime is 1006666946011. The next prime is 1006666946023. The reversal of 1006666946016 is 6106496666001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1006666946016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006666946011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50145261 + ... + 50165331.

It is an arithmetic number, because the mean of its divisors is an integer number (27680271528).

Almost surely, 2^{1006666946016} is an apocalyptic number.

1006666946016 is a gapful number since it is divisible by the number (16) 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 1006666946016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328653033344).

1006666946016 is an abundant number, since it is smaller than the sum of its proper divisors (1650639120672).

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

1006666946016 is a wasteful number, since it uses less digits than its factorization.

1006666946016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22984 (or 22976 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 1006666946016 in words is "one trillion, six billion, six hundred sixty-six million, nine hundred forty-six thousand, sixteen".