141168934249728 has 1152 divisors, whose sum is σ = 487999838785536. Its totient is φ = 35167194316800.

The previous prime is 141168934249703. The next prime is 141168934249741. The reversal of 141168934249728 is 827942439861141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45001252576 + ... + 45001255712.

It is an arithmetic number, because the mean of its divisors is an integer number (423610971168).

Almost surely, 2^{141168934249728} 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 141168934249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243999919392768).

141168934249728 is an abundant number, since it is smaller than the sum of its proper divisors (346830904535808).

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

141168934249728 is a wasteful number, since it uses less digits than its factorization.

141168934249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3499 (or 3485 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 69.

The spelling of 141168934249728 in words is "one hundred forty-one trillion, one hundred sixty-eight billion, nine hundred thirty-four million, two hundred forty-nine thousand, seven hundred twenty-eight".