131691948698880 has 288 divisors, whose sum is σ = 467383880342400. Its totient is φ = 35113316548608.

The previous prime is 131691948698861. The next prime is 131691948699001. The reversal of 131691948698880 is 88896849196131.

131691948698880 is a `hidden beast` number, since 1 + 31 + 6 + 9 + 19 + 486 + 98 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 131691948698880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271641336 + ... + 272125704.

Almost surely, 2^{131691948698880} is an apocalyptic number.

131691948698880 is a gapful number since it is divisible by the number (10) 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 131691948698880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233691940171200).

131691948698880 is an abundant number, since it is smaller than the sum of its proper divisors (335691931643520).

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

131691948698880 is an equidigital number, since it uses as much as digits as its factorization.

131691948698880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492266 (or 492246 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 81.

The spelling of 131691948698880 in words is "one hundred thirty-one trillion, six hundred ninety-one billion, nine hundred forty-eight million, six hundred ninety-eight thousand, eight hundred eighty".