131814042868480 has 216 divisors, whose sum is σ = 367300951421040. Its totient is φ = 45191365632000.

The previous prime is 131814042868477. The next prime is 131814042868493. The reversal of 131814042868480 is 84868240418131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2302359855 + ... + 2302417105.

It is an arithmetic number, because the mean of its divisors is an integer number (1700467367690).

Almost surely, 2^{131814042868480} is an apocalyptic number.

131814042868480 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 131814042868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183650475710520).

131814042868480 is an abundant number, since it is smaller than the sum of its proper divisors (235486908552560).

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

131814042868480 is an equidigital number, since it uses as much as digits as its factorization.

131814042868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93995 (or 93974 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 58.

The spelling of 131814042868480 in words is "one hundred thirty-one trillion, eight hundred fourteen billion, forty-two million, eight hundred sixty-eight thousand, four hundred eighty".