141038342995968 has 1024 divisors, whose sum is σ = 473112788544000. Its totient is φ = 41132438323200.

The previous prime is 141038342995937. The next prime is 141038342996009. The reversal of 141038342995968 is 869599243830141.

141038342995968 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 3 + 8 + 3 + 4 + 29 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 141038342995896 and 141038342995905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 118819159471 + ... + 118819160657.

Almost surely, 2^{141038342995968} is an apocalyptic number.

141038342995968 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 141038342995968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236556394272000).

141038342995968 is an abundant number, since it is smaller than the sum of its proper divisors (332074445548032).

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

141038342995968 is a wasteful number, since it uses less digits than its factorization.

141038342995968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 141038342995968 in words is "one hundred forty-one trillion, thirty-eight billion, three hundred forty-two million, nine hundred ninety-five thousand, nine hundred sixty-eight".