345175944960 has 648 divisors, whose sum is σ = 1409662448208. Its totient is φ = 71720140800.

The previous prime is 345175944959. The next prime is 345175944983. The reversal of 345175944960 is 69449571543.

It is a self number, because there is not a number n which added to its sum of digits gives 345175944960.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22759780 + ... + 22774940.

Almost surely, 2^345175944960 is an apocalyptic number.

345175944960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345175944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704831224104).

345175944960 is an abundant number, since it is smaller than the sum of its proper divisors (1064486503248).

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

345175944960 is a wasteful number, since it uses less digits than its factorization.

345175944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15221 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 345175944960 in words is "three hundred forty-five billion, one hundred seventy-five million, nine hundred forty-four thousand, nine hundred sixty".