3144666613000 has 512 divisors, whose sum is σ = 8643897400320. Its totient is φ = 1058150400000.

The previous prime is 3144666612977. The next prime is 3144666613031. The reversal of 3144666613000 is 3166664413.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3154128502 + ... + 3154129498.

It is an arithmetic number, because the mean of its divisors is an integer number (16882612110).

Almost surely, 2^{3144666613000} 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 3144666613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321948700160).

3144666613000 is an abundant number, since it is smaller than the sum of its proper divisors (5499230787320).

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

3144666613000 is a wasteful number, since it uses less digits than its factorization.

3144666613000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 3144666613000 in words is "three trillion, one hundred forty-four billion, six hundred sixty-six million, six hundred thirteen thousand".