6170315616144 has 135 divisors (see below), whose sum is σ = 17349528755923. Its totient is φ = 2047143841536.

The previous prime is 6170315616079. The next prime is 6170315616149. The reversal of 6170315616144 is 4416165130716.

The square root of 6170315616144 is 2484012.

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

6170315616144 is a `hidden beast` number, since 6 + 1 + 7 + 0 + 3 + 15 + 616 + 14 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3351140294544 + 2819175321600 = 1830612^2 + 1679040^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6170315616144.

It is not an unprimeable number, because it can be changed into a prime (6170315616149) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9449181322 + ... + 9449181974.

Almost surely, 2^{6170315616144} is an apocalyptic number.

6170315616144 is the 2484012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6170315616144

6170315616144 is an abundant number, since it is smaller than the sum of its proper divisors (11179213139779).

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

6170315616144 is an frugal number, since it uses more digits than its factorization.

6170315616144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 6170315616144 in words is "six trillion, one hundred seventy billion, three hundred fifteen million, six hundred sixteen thousand, one hundred forty-four".