141179630118912 has 1152 divisors, whose sum is σ = 512662596526080. Its totient is φ = 36361641000960.

The previous prime is 141179630118911. The next prime is 141179630118941. The reversal of 141179630118912 is 219811036971141.

141179630118912 is a `hidden beast` number, since 1 + 411 + 7 + 9 + 6 + 30 + 1 + 189 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (141179630118911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97164231978 + ... + 97164233430.

It is an arithmetic number, because the mean of its divisors is an integer number (445019615040).

Almost surely, 2^{141179630118912} is an apocalyptic number.

141179630118912 is a gapful number since it is divisible by the number (12) 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 141179630118912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256331298263040).

141179630118912 is an abundant number, since it is smaller than the sum of its proper divisors (371482966407168).

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

141179630118912 is a wasteful number, since it uses less digits than its factorization.

141179630118912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 141179630118912 in words is "one hundred forty-one trillion, one hundred seventy-nine billion, six hundred thirty million, one hundred eighteen thousand, nine hundred twelve".