345182333814 has 120 divisors (see below), whose sum is σ = 800781296040. Its totient is φ = 111131637120.

The previous prime is 345182333801. The next prime is 345182333827. The reversal of 345182333814 is 418333281543.

345182333814 is a `hidden beast` number, since 3 + 4 + 518 + 23 + 33 + 81 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (345182333801) and next prime (345182333827).

It is a self number, because there is not a number n which added to its sum of digits gives 345182333814.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92317557 + ... + 92321295.

It is an arithmetic number, because the mean of its divisors is an integer number (6673177467).

Almost surely, 2^345182333814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345182333814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400390648020).

345182333814 is an abundant number, since it is smaller than the sum of its proper divisors (455598962226).

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

345182333814 is a wasteful number, since it uses less digits than its factorization.

345182333814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4368 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 345182333814 in words is "three hundred forty-five billion, one hundred eighty-two million, three hundred thirty-three thousand, eight hundred fourteen".