131684916384 has 288 divisors, whose sum is σ = 455546198016. Its totient is φ = 35223920640.

The previous prime is 131684916373. The next prime is 131684916397. The reversal of 131684916384 is 483619486131.

131684916384 is a `hidden beast` number, since 1 + 3 + 16 + 8 + 491 + 63 + 84 = 666.

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

It is a super-3 number, since 3×131684916384³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131684916384.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6535894 + ... + 6556010.

It is an arithmetic number, because the mean of its divisors is an integer number (1581757632).

Almost surely, 2^131684916384 is an apocalyptic number.

131684916384 is a gapful number since it is divisible by the number (14) 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 131684916384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227773099008).

131684916384 is an abundant number, since it is smaller than the sum of its proper divisors (323861281632).

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

131684916384 is a wasteful number, since it uses less digits than its factorization.

131684916384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20348 (or 20337 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 131684916384 in words is "one hundred thirty-one billion, six hundred eighty-four million, nine hundred sixteen thousand, three hundred eighty-four".