345174441984 has 260 divisors, whose sum is σ = 1039382070144. Its totient is φ = 114152177664.

The previous prime is 345174441947. The next prime is 345174442049. The reversal of 345174441984 is 489144471543.

It is a happy number.

345174441984 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 7 + 444 + 198 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7741440) is a multiple of the sum of its prime factors (189).

It is a self number, because there is not a number n which added to its sum of digits gives 345174441984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2717908929 + ... + 2717909055.

Almost surely, 2^345174441984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345174441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519691035072).

345174441984 is an abundant number, since it is smaller than the sum of its proper divisors (694207628160).

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

345174441984 is an frugal number, since it uses more digits than its factorization.

345174441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 132 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 345174441984 in words is "three hundred forty-five billion, one hundred seventy-four million, four hundred forty-one thousand, nine hundred eighty-four".