345184631584 has 96 divisors (see below), whose sum is σ = 744765598080. Its totient is φ = 156509798400.

The previous prime is 345184631573. The next prime is 345184631611. The reversal of 345184631584 is 485136481543.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 44936224 + ... + 44943904.

It is an arithmetic number, because the mean of its divisors is an integer number (7757974980).

Almost surely, 2^345184631584 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 345184631584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372382799040).

345184631584 is an abundant number, since it is smaller than the sum of its proper divisors (399580966496).

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

345184631584 is a wasteful number, since it uses less digits than its factorization.

345184631584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594 (or 9586 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 52.

The spelling of 345184631584 in words is "three hundred forty-five billion, one hundred eighty-four million, six hundred thirty-one thousand, five hundred eighty-four".