3118065155712 has 640 divisors, whose sum is σ = 10405587099600. Its totient is φ = 920240455680.

The previous prime is 3118065155687. The next prime is 3118065155731. The reversal of 3118065155712 is 2175515608113.

3118065155712 is a `hidden beast` number, since 3 + 1 + 1 + 8 + 0 + 65 + 15 + 571 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 259341673536 + 2858723482176 = 509256^2 + 1690776^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 613669012 + ... + 613674092.

Almost surely, 2^{3118065155712} is an apocalyptic number.

3118065155712 is a gapful number since it is divisible by the number (32) 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 3118065155712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202793549800).

3118065155712 is an abundant number, since it is smaller than the sum of its proper divisors (7287521943888).

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

3118065155712 is a wasteful number, since it uses less digits than its factorization.

3118065155712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 45.

The spelling of 3118065155712 in words is "three trillion, one hundred eighteen billion, sixty-five million, one hundred fifty-five thousand, seven hundred twelve".