141963290247168 has 2304 divisors, whose sum is σ = 503875085313600. Its totient is φ = 39650045460480.

The previous prime is 141963290247151. The next prime is 141963290247211. The reversal of 141963290247168 is 861742092369141.

141963290247168 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 6 + 329 + 0 + 247 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 143 ways as a sum of consecutive naturals, for example, 1083689238463 + ... + 1083689238593.

Almost surely, 2^{141963290247168} is an apocalyptic number.

141963290247168 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 141963290247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251937542656800).

141963290247168 is an abundant number, since it is smaller than the sum of its proper divisors (361911795066432).

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

141963290247168 is an equidigital number, since it uses as much as digits as its factorization.

141963290247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 141963290247168 in words is "one hundred forty-one trillion, nine hundred sixty-three billion, two hundred ninety million, two hundred forty-seven thousand, one hundred sixty-eight".