343131915168 has 144 divisors (see below), whose sum is σ = 1180777590720. Its totient is φ = 92270757888.

The previous prime is 343131915127. The next prime is 343131915169. The reversal of 343131915168 is 861519131343.

343131915168 is a `hidden beast` number, since 3 + 43 + 1 + 3 + 1 + 91 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×343131915168² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (343131915169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4971738 + ... + 5040281.

It is an arithmetic number, because the mean of its divisors is an integer number (8199844380).

Almost surely, 2^343131915168 is an apocalyptic number.

It is an amenable number.

343131915168 is an abundant number, since it is smaller than the sum of its proper divisors (837645675552).

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

343131915168 is a wasteful number, since it uses less digits than its factorization.

343131915168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10012059 (or 10012048 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 343131915168 in words is "three hundred forty-three billion, one hundred thirty-one million, nine hundred fifteen thousand, one hundred sixty-eight".