345922329992 has 36 divisors (see below), whose sum is σ = 678105657285. Its totient is φ = 165422815360.

The previous prime is 345922329989. The next prime is 345922330021. The reversal of 345922329992 is 299923229543.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 201936991876 + 143985338116 = 449374^2 + 379454^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=415886.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 38256992 + ... + 38266032.

Almost surely, 2^345922329992 is an apocalyptic number.

It is an amenable number.

345922329992 is a deficient number, since it is larger than the sum of its proper divisors (332183327293).

345922329992 is an frugal number, since it uses more digits than its factorization.

345922329992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18134 (or 9066 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 59.

The spelling of 345922329992 in words is "three hundred forty-five billion, nine hundred twenty-two million, three hundred twenty-nine thousand, nine hundred ninety-two".