141327682085184 has 224 divisors, whose sum is σ = 438841527801600. Its totient is φ = 39298150563840.

The previous prime is 141327682085123. The next prime is 141327682085309. The reversal of 141327682085184 is 481580286723141.

It is a tau number, because it is divible by the number of its divisors (224).

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, 19402152 + ... + 25672920.

It is an arithmetic number, because the mean of its divisors is an integer number (1959113963400).

Almost surely, 2^{141327682085184} is an apocalyptic number.

141327682085184 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 141327682085184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219420763900800).

141327682085184 is an abundant number, since it is smaller than the sum of its proper divisors (297513845716416).

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

141327682085184 is a wasteful number, since it uses less digits than its factorization.

141327682085184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271241 (or 6271231 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 141327682085184 in words is "one hundred forty-one trillion, three hundred twenty-seven billion, six hundred eighty-two million, eighty-five thousand, one hundred eighty-four".