141081629073408 has 672 divisors, whose sum is σ = 437303868402960. Its totient is φ = 43738516684800.

The previous prime is 141081629073401. The next prime is 141081629073449. The reversal of 141081629073408 is 804370926180141.

141081629073408 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 8 + 1 + 6 + 290 + 7 + 340 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 112281319378944 + 28800309694464 = 10596288^2 + 5366592^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (141081629073401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7990115716 + ... + 7990133372.

Almost surely, 2^{141081629073408} is an apocalyptic number.

141081629073408 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 141081629073408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218651934201480).

141081629073408 is an abundant number, since it is smaller than the sum of its proper divisors (296222239329552).

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

141081629073408 is a wasteful number, since it uses less digits than its factorization.

141081629073408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856 (or 17829 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 141081629073408 in words is "one hundred forty-one trillion, eighty-one billion, six hundred twenty-nine million, seventy-three thousand, four hundred eight".