131104544443488 has 576 divisors, whose sum is σ = 465993767715840. Its totient is φ = 33967633305600.

The previous prime is 131104544443471. The next prime is 131104544443493. The reversal of 131104544443488 is 884344445401131.

131104544443488 is a `hidden beast` number, since 1 + 3 + 1 + 10 + 4 + 544 + 4 + 4 + 3 + 4 + 88 = 666.

It is a super-2 number, since 2×131104544443488² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16052958381 + ... + 16052966547.

It is an arithmetic number, because the mean of its divisors is an integer number (809016957840).

Almost surely, 2^{131104544443488} is an apocalyptic number.

131104544443488 is a gapful number since it is divisible by the number (18) 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 131104544443488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232996883857920).

131104544443488 is an abundant number, since it is smaller than the sum of its proper divisors (334889223272352).

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

131104544443488 is a wasteful number, since it uses less digits than its factorization.

131104544443488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9931 (or 9920 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 131104544443488 in words is "one hundred thirty-one trillion, one hundred four billion, five hundred forty-four million, four hundred forty-three thousand, four hundred eighty-eight".