384306901585152 has 576 divisors, whose sum is σ = 1280443122438144. Its totient is φ = 99623865876480.

The previous prime is 384306901585147. The next prime is 384306901585157. The reversal of 384306901585152 is 251585109603483.

It is an interprime number because it is at equal distance from previous prime (384306901585147) and next prime (384306901585157).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384306901585157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2139810877 + ... + 2139990467.

Almost surely, 2^{384306901585152} is an apocalyptic number.

384306901585152 is a gapful number since it is divisible by the number (32) 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 384306901585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640221561219072).

384306901585152 is an abundant number, since it is smaller than the sum of its proper divisors (896136220852992).

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

384306901585152 is a wasteful number, since it uses less digits than its factorization.

384306901585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180154 (or 180140 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 384306901585152 in words is "three hundred eighty-four trillion, three hundred six billion, nine hundred one million, five hundred eighty-five thousand, one hundred fifty-two".