141365435904 has 960 divisors, whose sum is σ = 533151590400. Its totient is φ = 35729326080.

The previous prime is 141365435903. The next prime is 141365435917. The reversal of 141365435904 is 409534563141.

141365435904 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 6 + 54 + 3 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 141365435904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141365435903) 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, 817141162 + ... + 817141334.

It is an arithmetic number, because the mean of its divisors is an integer number (555366240).

Almost surely, 2^141365435904 is an apocalyptic number.

141365435904 is a gapful number since it is divisible by the number (14) 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 141365435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266575795200).

141365435904 is an abundant number, since it is smaller than the sum of its proper divisors (391786154496).

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

141365435904 is a wasteful number, since it uses less digits than its factorization.

141365435904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 141365435904 in words is "one hundred forty-one billion, three hundred sixty-five million, four hundred thirty-five thousand, nine hundred four".