1000008000016 has 75 divisors (see below), whose sum is σ = 1997213205361. Its totient is φ = 485057940224.

The previous prime is 1000008000001. The next prime is 1000008000029. The reversal of 1000008000016 is 6100008000001.

The square root of 1000008000016 is 1000004.

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

It can be written as a sum of positive squares in 7 ways, for example, as 375528742416 + 624479257600 = 612804^2 + 790240^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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 14 ways as a sum of consecutive naturals, for example, 11236044900 + ... + 11236044988.

Almost surely, 2^{1000008000016} is an apocalyptic number.

1000008000016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1000008000016 is the 1000004-th square number.

It is an amenable number.

1000008000016 is a deficient number, since it is larger than the sum of its proper divisors (997205205345).

1000008000016 is an frugal number, since it uses more digits than its factorization.

1000008000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Multiplying 1000008000016 by its sum of digits (16), we get a square (16000128000256 = 4000016²).

1000008000016 divided by its sum of digits (16) gives a square (62500500001 = 250001²).

The spelling of 1000008000016 in words is "one trillion, eight million, sixteen", and thus it is an aban number and an uban number.