3116408544032 has 144 divisors (see below), whose sum is σ = 7369740467712. Its totient is φ = 1292102461440.

The previous prime is 3116408544017. The next prime is 3116408544091. The reversal of 3116408544032 is 2304458046113.

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 23 ways as a sum of consecutive naturals, for example, 184361693 + ... + 184378595.

It is an arithmetic number, because the mean of its divisors is an integer number (51178753248).

Almost surely, 2^{3116408544032} is an apocalyptic number.

3116408544032 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 3116408544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684870233856).

3116408544032 is an abundant number, since it is smaller than the sum of its proper divisors (4253331923680).

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

3116408544032 is a wasteful number, since it uses less digits than its factorization.

3116408544032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20751 (or 20736 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 3116408544032 in words is "three trillion, one hundred sixteen billion, four hundred eight million, five hundred forty-four thousand, thirty-two".