345004112544 has 288 divisors, whose sum is σ = 1173660606720. Its totient is φ = 87852054528.

The previous prime is 345004112483. The next prime is 345004112569. The reversal of 345004112544 is 445211400543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1676137 + ... + 1870679.

It is an arithmetic number, because the mean of its divisors is an integer number (4075210440).

Almost surely, 2^345004112544 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 345004112544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586830303360).

345004112544 is an abundant number, since it is smaller than the sum of its proper divisors (828656494176).

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

345004112544 is a wasteful number, since it uses less digits than its factorization.

345004112544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194612 (or 194597 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 345004112544 in words is "three hundred forty-five billion, four million, one hundred twelve thousand, five hundred forty-four".