131893468363008 has 288 divisors, whose sum is σ = 425731985817600. Its totient is φ = 39944955340800.

The previous prime is 131893468362989. The next prime is 131893468363009. The reversal of 131893468363008 is 800363864398131.

131893468363008 is a `hidden beast` number, since 1 + 3 + 189 + 34 + 68 + 363 + 0 + 0 + 8 = 666.

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

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (131893468363009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133247193 + ... + 134233383.

Almost surely, 2^{131893468363008} is an apocalyptic number.

131893468363008 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 131893468363008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212865992908800).

131893468363008 is an abundant number, since it is smaller than the sum of its proper divisors (293838517454592).

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

131893468363008 is a wasteful number, since it uses less digits than its factorization.

131893468363008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987986 (or 987966 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 131893468363008 in words is "one hundred thirty-one trillion, eight hundred ninety-three billion, four hundred sixty-eight million, three hundred sixty-three thousand, eight".