385114546176 has 448 divisors, whose sum is σ = 1100516098176. Its totient is φ = 119616307200.

The previous prime is 385114546171. The next prime is 385114546181. The reversal of 385114546176 is 671645411583.

It is an interprime number because it is at equal distance from previous prime (385114546171) and next prime (385114546181).

It is not an unprimeable number, because it can be changed into a prime (385114546171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2939805631 + ... + 2939805761.

Almost surely, 2^385114546176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 385114546176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550258049088).

385114546176 is an abundant number, since it is smaller than the sum of its proper divisors (715401552000).

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

385114546176 is a wasteful number, since it uses less digits than its factorization.

385114546176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 287 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 51.

The spelling of 385114546176 in words is "three hundred eighty-five billion, one hundred fourteen million, five hundred forty-six thousand, one hundred seventy-six".