141957291168 has 576 divisors, whose sum is σ = 515852064000. Its totient is φ = 35961569280.

The previous prime is 141957291149. The next prime is 141957291169. The reversal of 141957291168 is 861192759141.

141957291168 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 572 + 9 + 1 + 1 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (141957291169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316163008 + ... + 316163456.

It is an arithmetic number, because the mean of its divisors is an integer number (895576500).

Almost surely, 2^141957291168 is an apocalyptic number.

141957291168 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 141957291168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257926032000).

141957291168 is an abundant number, since it is smaller than the sum of its proper divisors (373894772832).

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

141957291168 is a wasteful number, since it uses less digits than its factorization.

141957291168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 54.

The spelling of 141957291168 in words is "one hundred forty-one billion, nine hundred fifty-seven million, two hundred ninety-one thousand, one hundred sixty-eight".