140432691168 has 960 divisors, whose sum is σ = 561150374400. Its totient is φ = 33338511360.

The previous prime is 140432691151. The next prime is 140432691169. The reversal of 140432691168 is 861196234041.

140432691168 is a `hidden beast` number, since 1 + 40 + 432 + 69 + 116 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140432691169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 109970146 + ... + 109971422.

It is an arithmetic number, because the mean of its divisors is an integer number (584531640).

Almost surely, 2^140432691168 is an apocalyptic number.

140432691168 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 140432691168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280575187200).

140432691168 is an abundant number, since it is smaller than the sum of its proper divisors (420717683232).

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

140432691168 is a wasteful number, since it uses less digits than its factorization.

140432691168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 140432691168 in words is "one hundred forty billion, four hundred thirty-two million, six hundred ninety-one thousand, one hundred sixty-eight".