345531430242129 has 16 divisors (see below), whose sum is σ = 504630080680320. Its totient is φ = 209328033465600.

The previous prime is 345531430242107. The next prime is 345531430242133. The reversal of 345531430242129 is 921242034135543.

It is not a de Polignac number, because 345531430242129 - 2¹⁶ = 345531430176593 is a prime.

It is a super-3 number, since 3×345531430242129³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (345531430042129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116812517197 + ... + 116812520154.

It is an arithmetic number, because the mean of its divisors is an integer number (31539380042520).

Almost surely, 2^{345531430242129} is an apocalyptic number.

It is an amenable number.

345531430242129 is a deficient number, since it is larger than the sum of its proper divisors (159098650438191).

345531430242129 is a wasteful number, since it uses less digits than its factorization.

345531430242129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233625037400.

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 345531430242129 in words is "three hundred forty-five trillion, five hundred thirty-one billion, four hundred thirty million, two hundred forty-two thousand, one hundred twenty-nine".