141640734456 has 256 divisors, whose sum is σ = 433627084800. Its totient is φ = 42565824000.

The previous prime is 141640734421. The next prime is 141640734457. The reversal of 141640734456 is 654437046141.

141640734456 is a `hidden beast` number, since 1 + 4 + 164 + 0 + 7 + 34 + 456 = 666.

141640734456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141640734457) 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 63 ways as a sum of consecutive naturals, for example, 92514411 + ... + 92515941.

It is an arithmetic number, because the mean of its divisors is an integer number (1693855800).

Almost surely, 2^141640734456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141640734456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216813542400).

141640734456 is an abundant number, since it is smaller than the sum of its proper divisors (291986350344).

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

141640734456 is a wasteful number, since it uses less digits than its factorization.

141640734456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2297 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

It can be divided in two parts, 141640 and 734456, that added together give a square (876096 = 936²).

The spelling of 141640734456 in words is "one hundred forty-one billion, six hundred forty million, seven hundred thirty-four thousand, four hundred fifty-six".