506340645243345 has 64 divisors (see below), whose sum is σ = 982118667329280. Its totient is φ = 245467322496000.

The previous prime is 506340645243299. The next prime is 506340645243373. The reversal of 506340645243345 is 543342546043605.

506340645243345 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 40 + 6 + 4 + 524 + 33 + 45 = 666.

It is not a de Polignac number, because 506340645243345 - 2⁷ = 506340645243217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506340645243291 and 506340645243300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9946056 + ... + 33340745.

It is an arithmetic number, because the mean of its divisors is an integer number (15345604177020).

Almost surely, 2^{506340645243345} is an apocalyptic number.

506340645243345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

506340645243345 is a deficient number, since it is larger than the sum of its proper divisors (475778022085935).

506340645243345 is a wasteful number, since it uses less digits than its factorization.

506340645243345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43294703 (or 43294697 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 54.

The spelling of 506340645243345 in words is "five hundred six trillion, three hundred forty billion, six hundred forty-five million, two hundred forty-three thousand, three hundred forty-five".