345009978016 has 48 divisors (see below), whose sum is σ = 745533397728. Its totient is φ = 155860588800.

The previous prime is 345009977981. The next prime is 345009978083. The reversal of 345009978016 is 610879900543.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2949195 + ... + 3063946.

It is an arithmetic number, because the mean of its divisors is an integer number (15531945786).

Almost surely, 2^345009978016 is an apocalyptic number.

It is an amenable number.

345009978016 is an abundant number, since it is smaller than the sum of its proper divisors (400523419712).

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

345009978016 is a wasteful number, since it uses less digits than its factorization.

345009978016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6013325 (or 6013317 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 52.

The spelling of 345009978016 in words is "three hundred forty-five billion, nine million, nine hundred seventy-eight thousand, sixteen".