345184242117 has 32 divisors (see below), whose sum is σ = 555321943680. Its totient is φ = 187890865920.

The previous prime is 345184242083. The next prime is 345184242133. The reversal of 345184242117 is 711242481543.

It is not a de Polignac number, because 345184242117 - 2⁷ = 345184241989 is a prime.

It is a super-2 number, since 2×345184242117² (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 (345184242197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10857442 + ... + 10889187.

It is an arithmetic number, because the mean of its divisors is an integer number (17353810740).

Almost surely, 2^345184242117 is an apocalyptic number.

345184242117 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

345184242117 is a deficient number, since it is larger than the sum of its proper divisors (210137701563).

345184242117 is a wasteful number, since it uses less digits than its factorization.

345184242117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21746693.

The product of its digits is 215040, while the sum is 42.

The spelling of 345184242117 in words is "three hundred forty-five billion, one hundred eighty-four million, two hundred forty-two thousand, one hundred seventeen".