3181831147872 has 144 divisors (see below), whose sum is σ = 9767618930160. Its totient is φ = 976687911936.

The previous prime is 3181831147849. The next prime is 3181831147877. The reversal of 3181831147872 is 2787411381813.

3181831147872 is a `hidden beast` number, since 3 + 1 + 81 + 83 + 11 + 478 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3181831147877) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554598 + ... + 2582874.

It is an arithmetic number, because the mean of its divisors is an integer number (67830687015).

Almost surely, 2^{3181831147872} is an apocalyptic number.

3181831147872 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 3181831147872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883809465080).

3181831147872 is an abundant number, since it is smaller than the sum of its proper divisors (6585787782288).

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

3181831147872 is a wasteful number, since it uses less digits than its factorization.

3181831147872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028725 (or 2028714 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 54.

The spelling of 3181831147872 in words is "three trillion, one hundred eighty-one billion, eight hundred thirty-one million, one hundred forty-seven thousand, eight hundred seventy-two".