384091013569536 has 3960 divisors, whose sum is σ = 1546949496574944. Its totient is φ = 94371745628160.

The previous prime is 384091013569477. The next prime is 384091013569603. The reversal of 384091013569536 is 635965310190483.

384091013569536 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 9 + 1 + 0 + 1 + 35 + 69 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 647708285656 + ... + 647708286248.

Almost surely, 2^{384091013569536} is an apocalyptic number.

384091013569536 is a gapful number since it is divisible by the number (36) 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 384091013569536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773474748287472).

384091013569536 is an abundant number, since it is smaller than the sum of its proper divisors (1162858483005408).

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

384091013569536 is a wasteful number, since it uses less digits than its factorization.

384091013569536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 384091013569536 in words is "three hundred eighty-four trillion, ninety-one billion, thirteen million, five hundred sixty-nine thousand, five hundred thirty-six".