141797916072384 has 1344 divisors, whose sum is σ = 474225337958400. Its totient is φ = 37037936517120.

The previous prime is 141797916072341. The next prime is 141797916072391. The reversal of 141797916072384 is 483270619797141.

141797916072384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 191 ways as a sum of consecutive naturals, for example, 130448864289 + ... + 130448865375.

It is an arithmetic number, because the mean of its divisors is an integer number (352846233600).

Almost surely, 2^{141797916072384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141797916072384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237112668979200).

141797916072384 is an abundant number, since it is smaller than the sum of its proper divisors (332427421886016).

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

141797916072384 is a wasteful number, since it uses less digits than its factorization.

141797916072384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 128024064, while the sum is 69.

The spelling of 141797916072384 in words is "one hundred forty-one trillion, seven hundred ninety-seven billion, nine hundred sixteen million, seventy-two thousand, three hundred eighty-four".