385186142208 has 384 divisors, whose sum is σ = 1205526067200. Its totient is φ = 107102601216.

The previous prime is 385186142191. The next prime is 385186142251. The reversal of 385186142208 is 802241681583.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248026360 + ... + 248027912.

It is an arithmetic number, because the mean of its divisors is an integer number (3139390800).

Almost surely, 2^385186142208 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 385186142208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602763033600).

385186142208 is an abundant number, since it is smaller than the sum of its proper divisors (820339924992).

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

385186142208 is a wasteful number, since it uses less digits than its factorization.

385186142208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 385186142208 in words is "three hundred eighty-five billion, one hundred eighty-six million, one hundred forty-two thousand, two hundred eight".