345188221854 has 64 divisors (see below), whose sum is σ = 806080813056. Its totient is φ = 96500461824.

The previous prime is 345188221853. The next prime is 345188221913. The reversal of 345188221854 is 458122881543.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 345188221797 and 345188221806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345188221853) 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 31 ways as a sum of consecutive naturals, for example, 605674 + ... + 1028210.

It is an arithmetic number, because the mean of its divisors is an integer number (12595012704).

Almost surely, 2^345188221854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345188221854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403040406528).

345188221854 is an abundant number, since it is smaller than the sum of its proper divisors (460892591202).

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

345188221854 is a wasteful number, since it uses less digits than its factorization.

345188221854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422969.

The product of its digits is 2457600, while the sum is 51.

The spelling of 345188221854 in words is "three hundred forty-five billion, one hundred eighty-eight million, two hundred twenty-one thousand, eight hundred fifty-four".