3181491361152 has 1024 divisors, whose sum is σ = 11037503232000. Its totient is φ = 893194076160.

The previous prime is 3181491361141. The next prime is 3181491361189. The reversal of 3181491361152 is 2511631941813.

3181491361152 is a `hidden beast` number, since 3 + 1 + 8 + 1 + 491 + 3 + 6 + 1 + 152 = 666.

3181491361152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3181491361098 and 3181491361107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8862092749 + ... + 8862093107.

It is an arithmetic number, because the mean of its divisors is an integer number (10778811750).

Almost surely, 2^{3181491361152} is an apocalyptic number.

3181491361152 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 3181491361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518751616000).

3181491361152 is an abundant number, since it is smaller than the sum of its proper divisors (7856011870848).

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

3181491361152 is a wasteful number, since it uses less digits than its factorization.

3181491361152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 718 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 3181491361152 in words is "three trillion, one hundred eighty-one billion, four hundred ninety-one million, three hundred sixty-one thousand, one hundred fifty-two".