345304654503144 has 128 divisors (see below), whose sum is σ = 1038663499392000. Its totient is φ = 93452128095744.

The previous prime is 345304654503131. The next prime is 345304654503203. The reversal of 345304654503144 is 441305456403543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13659652 + ... + 29617484.

It is an arithmetic number, because the mean of its divisors is an integer number (8114558589000).

Almost surely, 2^{345304654503144} 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 345304654503144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519331749696000).

345304654503144 is an abundant number, since it is smaller than the sum of its proper divisors (693358844888856).

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

345304654503144 is a wasteful number, since it uses less digits than its factorization.

345304654503144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15964647 (or 15964643 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 51.

The spelling of 345304654503144 in words is "three hundred forty-five trillion, three hundred four billion, six hundred fifty-four million, five hundred three thousand, one hundred forty-four".