345159643530240 has 3564 divisors, whose sum is σ = 1588853718181548. Its totient is φ = 71680098631680.

The previous prime is 345159643530199. The next prime is 345159643530259. The reversal of 345159643530240 is 42035346951543.

345159643530240 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 5 + 9 + 64 + 3 + 530 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138661364007936 + 206498279522304 = 11775456^2 + 14370048^2 .

It is a tau number, because it is divible by the number of its divisors (3564).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 199168864414 + ... + 199168866146.

Almost surely, 2^{345159643530240} is an apocalyptic number.

345159643530240 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 345159643530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794426859090774).

345159643530240 is an abundant number, since it is smaller than the sum of its proper divisors (1243694074651308).

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

345159643530240 is an equidigital number, since it uses as much as digits as its factorization.

345159643530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 345159643530240 in words is "three hundred forty-five trillion, one hundred fifty-nine billion, six hundred forty-three million, five hundred thirty thousand, two hundred forty".