160958401668 has 96 divisors (see below), whose sum is σ = 432540057600. Its totient is φ = 51727392288.

The previous prime is 160958401657. The next prime is 160958401673. The reversal of 160958401668 is 866104859061.

160958401668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103453 + ... + 576731.

It is an arithmetic number, because the mean of its divisors is an integer number (4505625600).

Almost surely, 2^160958401668 is an apocalyptic number.

160958401668 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 160958401668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216270028800).

160958401668 is an abundant number, since it is smaller than the sum of its proper divisors (271581655932).

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

160958401668 is a wasteful number, since it uses less digits than its factorization.

160958401668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473406 (or 473398 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 160958401668 in words is "one hundred sixty billion, nine hundred fifty-eight million, four hundred one thousand, six hundred sixty-eight".