345261406305120 has 96 divisors (see below), whose sum is σ = 1122656443776000. Its totient is φ = 89099717752320.

The previous prime is 345261406305103. The next prime is 345261406305161. The reversal of 345261406305120 is 21503604162543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11601510870 + ... + 11601540629.

It is an arithmetic number, because the mean of its divisors is an integer number (11694337956000).

Almost surely, 2^{345261406305120} is an apocalyptic number.

345261406305120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345261406305120 is an abundant number, since it is smaller than the sum of its proper divisors (777395037470880).

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

345261406305120 is a wasteful number, since it uses less digits than its factorization.

345261406305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23203051548 (or 23203051540 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 345261406305120 in words is "three hundred forty-five trillion, two hundred sixty-one billion, four hundred six million, three hundred five thousand, one hundred twenty".