345161721168 has 90 divisors (see below), whose sum is σ = 1061772499242. Its totient is φ = 104594455680.

The previous prime is 345161721167. The next prime is 345161721173. The reversal of 345161721168 is 861127161543.

345161721168 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 617 + 21 + 1 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 266925155904 + 78236565264 = 516648^2 + 279708^2 .

It is a super-2 number, since 2×345161721168² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345161721167) 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 17 ways as a sum of consecutive naturals, for example, 9887355 + ... + 9922202.

Almost surely, 2^345161721168 is an apocalyptic number.

It is an amenable number.

345161721168 is an abundant number, since it is smaller than the sum of its proper divisors (716610778074).

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

345161721168 is a wasteful number, since it uses less digits than its factorization.

345161721168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19809593 (or 19809573 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 345161721168 in words is "three hundred forty-five billion, one hundred sixty-one million, seven hundred twenty-one thousand, one hundred sixty-eight".