3144985159680 has 4608 divisors, whose sum is σ = 15866448998400. Its totient is φ = 577895399424.

The previous prime is 3144985159619. The next prime is 3144985159703. The reversal of 3144985159680 is 869515894413.

3144985159680 is a `hidden beast` number, since 3 + 1 + 4 + 498 + 51 + 5 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 73139189739 + ... + 73139189781.

It is an arithmetic number, because the mean of its divisors is an integer number (3443239800).

Almost surely, 2^{3144985159680} is an apocalyptic number.

3144985159680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144985159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933224499200).

3144985159680 is an abundant number, since it is smaller than the sum of its proper divisors (12721463838720).

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

3144985159680 is a wasteful number, since it uses less digits than its factorization.

3144985159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 3144985159680 in words is "three trillion, one hundred forty-four billion, nine hundred eighty-five million, one hundred fifty-nine thousand, six hundred eighty".