3191625126144 has 729 divisors, whose sum is σ = 11619834765903. Its totient is φ = 839689224192.

The previous prime is 3191625126121. The next prime is 3191625126271. The reversal of 3191625126144 is 4416215261913.

The square root of 3191625126144 is 1786512.

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

3191625126144 is a `hidden beast` number, since 3 + 1 + 9 + 1 + 6 + 25 + 1 + 2 + 614 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29942841600 + 3161682284544 = 173040^2 + 1778112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3191625126144.

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 80 ways as a sum of consecutive naturals, for example, 7803484212 + ... + 7803484620.

Almost surely, 2^{3191625126144} is an apocalyptic number.

3191625126144 is the 1786512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3191625126144

3191625126144 is an abundant number, since it is smaller than the sum of its proper divisors (8428209639759).

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

3191625126144 is an equidigital number, since it uses as much as digits as its factorization.

3191625126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 434 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 3191625126144 in words is "three trillion, one hundred ninety-one billion, six hundred twenty-five million, one hundred twenty-six thousand, one hundred forty-four".