1002009008016 has 45 divisors (see below), whose sum is σ = 2804267160721. Its totient is φ = 333998998656.

The previous prime is 1002009008003. The next prime is 1002009008087. The reversal of 1002009008016 is 6108009002001.

The square root of 1002009008016 is 1001004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66347456400 + 935661551616 = 257580^2 + 967296^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 11970340 + ... + 12053756.

Almost surely, 2^{1002009008016} is an apocalyptic number.

1002009008016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1002009008016 is the 1001004-th square number.

It is an amenable number.

1002009008016 is an abundant number, since it is smaller than the sum of its proper divisors (1802258152705).

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

1002009008016 is an frugal number, since it uses more digits than its factorization.

1002009008016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166848 (or 83422 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 1002009008016 in words is "one trillion, two billion, nine million, eight thousand, sixteen".