345327203151360 has 240 divisors, whose sum is σ = 1196062504734240. Its totient is φ = 92079764029440.

The previous prime is 345327203151353. The next prime is 345327203151373. The reversal of 345327203151360 is 63151302723543.

345327203151360 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 2 + 72 + 0 + 3 + 1 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285576501 + ... + 286783179.

It is an arithmetic number, because the mean of its divisors is an integer number (4983593769726).

Almost surely, 2^{345327203151360} is an apocalyptic number.

345327203151360 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 345327203151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598031252367120).

345327203151360 is an abundant number, since it is smaller than the sum of its proper divisors (850735301582880).

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

345327203151360 is a wasteful number, since it uses less digits than its factorization.

345327203151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219129 (or 1219110 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 345327203151360 in words is "three hundred forty-five trillion, three hundred twenty-seven billion, two hundred three million, one hundred fifty-one thousand, three hundred sixty".