342643160160 has 288 divisors, whose sum is σ = 1354616827200. Its totient is φ = 77245415424.

The previous prime is 342643160149. The next prime is 342643160267. The reversal of 342643160160 is 61061346243.

342643160160 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 43 + 1 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×342643160160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503016 + ... + 968664.

It is an arithmetic number, because the mean of its divisors is an integer number (4703530650).

Almost surely, 2^342643160160 is an apocalyptic number.

342643160160 is a gapful number since it is divisible by the number (30) 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 342643160160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677308413600).

342643160160 is an abundant number, since it is smaller than the sum of its proper divisors (1011973667040).

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

342643160160 is a wasteful number, since it uses less digits than its factorization.

342643160160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465750 (or 465739 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 342643160160 in words is "three hundred forty-two billion, six hundred forty-three million, one hundred sixty thousand, one hundred sixty".