3048166810000 has 675 divisors, whose sum is σ = 8597812765311. Its totient is φ = 1045863936000.

The previous prime is 3048166809977. The next prime is 3048166810037. The reversal of 3048166810000 is 186618403.

The square root of 3048166810000 is 1745900.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2630974832784 + 417191977216 = 1622028^2 + 645904^2 .

It is a super-2 number, since 2×3048166810000² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 38584389961 + ... + 38584390039.

Almost surely, 2^{3048166810000} is an apocalyptic number.

3048166810000 is the 1745900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3048166810000

3048166810000 is an abundant number, since it is smaller than the sum of its proper divisors (5549645955311).

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

3048166810000 is an equidigital number, since it uses as much as digits as its factorization.

3048166810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 3048166810000 in words is "three trillion, forty-eight billion, one hundred sixty-six million, eight hundred ten thousand".