3183270948864 has 832 divisors, whose sum is σ = 10252248768000. Its totient is φ = 985088065536.

The previous prime is 3183270948829. The next prime is 3183270948877. The reversal of 3183270948864 is 4688490723813.

3183270948864 is a `hidden beast` number, since 3 + 1 + 83 + 2 + 70 + 9 + 488 + 6 + 4 = 666.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 10041864034 + ... + 10041864350.

Almost surely, 2^{3183270948864} 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 3183270948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126124384000).

3183270948864 is an abundant number, since it is smaller than the sum of its proper divisors (7068977819136).

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

3183270948864 is an frugal number, since it uses more digits than its factorization.

3183270948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 3183270948864 in words is "three trillion, one hundred eighty-three billion, two hundred seventy million, nine hundred forty-eight thousand, eight hundred sixty-four".