384959016459 has 48 divisors (see below), whose sum is σ = 608950967040. Its totient is φ = 233290506240.

The previous prime is 384959016451. The next prime is 384959016461. The reversal of 384959016459 is 954610959483.

384959016459 is a `hidden beast` number, since 3 + 8 + 4 + 95 + 90 + 1 + 6 + 459 = 666.

It is not a de Polignac number, because 384959016459 - 2³ = 384959016451 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 384959016396 and 384959016405.

It is not an unprimeable number, because it can be changed into a prime (384959016451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2334459 + ... + 2493915.

It is an arithmetic number, because the mean of its divisors is an integer number (12686478480).

Almost surely, 2^384959016459 is an apocalyptic number.

384959016459 is a deficient number, since it is larger than the sum of its proper divisors (223991950581).

384959016459 is a wasteful number, since it uses less digits than its factorization.

384959016459 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160020 (or 160017 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 384959016459 in words is "three hundred eighty-four billion, nine hundred fifty-nine million, sixteen thousand, four hundred fifty-nine".