384258345345 has 96 divisors (see below), whose sum is σ = 806989547520. Its totient is φ = 165399874560.

The previous prime is 384258345319. The next prime is 384258345371. The reversal of 384258345345 is 543543852483.

384258345345 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 583 + 4 + 53 + 4 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (384258345319) and next prime (384258345371).

It is not a de Polignac number, because 384258345345 - 2⁵ = 384258345313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 384258345291 and 384258345300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170460 + ... + 893069.

It is an arithmetic number, because the mean of its divisors is an integer number (8406141120).

Almost surely, 2^384258345345 is an apocalyptic number.

384258345345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

384258345345 is an abundant number, since it is smaller than the sum of its proper divisors (422731202175).

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

384258345345 is a wasteful number, since it uses less digits than its factorization.

384258345345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063615 (or 1063612 counting only the distinct ones).

The product of its digits is 27648000, while the sum is 54.

The spelling of 384258345345 in words is "three hundred eighty-four billion, two hundred fifty-eight million, three hundred forty-five thousand, three hundred forty-five".