385111093248 has 832 divisors, whose sum is σ = 1395022970880. Its totient is φ = 102595756032.

The previous prime is 385111093243. The next prime is 385111093313. The reversal of 385111093248 is 842390111583.

385111093248 is a `hidden beast` number, since 3 + 8 + 511 + 1 + 0 + 93 + 2 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385111093243) 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, 765628165 + ... + 765628667.

Almost surely, 2^385111093248 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 385111093248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697511485440).

385111093248 is an abundant number, since it is smaller than the sum of its proper divisors (1009911877632).

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

385111093248 is a wasteful number, since it uses less digits than its factorization.

385111093248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 385111093248 in words is "three hundred eighty-five billion, one hundred eleven million, ninety-three thousand, two hundred forty-eight".