3171918256144 has 135 divisors (see below), whose sum is σ = 7178817939223. Its totient is φ = 1356400460800.

The previous prime is 3171918256141. The next prime is 3171918256183. The reversal of 3171918256144 is 4416528191713.

The square root of 3171918256144 is 1780988.

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

It can be written as a sum of positive squares in 4 ways, for example, as 627612528400 + 2544305727744 = 792220^2 + 1595088^2 .

It is a super-2 number, since 2×3171918256144² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3171918256091 and 3171918256100.

It is not an unprimeable number, because it can be changed into a prime (3171918256141) 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, 1332177834 + ... + 1332180214.

Almost surely, 2^{3171918256144} is an apocalyptic number.

3171918256144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3171918256144 is the 1780988-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3171918256144

3171918256144 is an abundant number, since it is smaller than the sum of its proper divisors (4006899683079).

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

3171918256144 is an equidigital number, since it uses as much as digits as its factorization.

3171918256144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 2411 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 52.

The spelling of 3171918256144 in words is "three trillion, one hundred seventy-one billion, nine hundred eighteen million, two hundred fifty-six thousand, one hundred forty-four".