385025168900 has 18 divisors (see below), whose sum is σ = 835504616730. Its totient is φ = 154010067520.

The previous prime is 385025168893. The next prime is 385025168929. The reversal of 385025168900 is 9861520583.

It can be written as a sum of positive squares in 3 ways, for example, as 349839616 + 384675329284 = 18704^2 + 620222^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1925125745 + ... + 1925125944.

Almost surely, 2^385025168900 is an apocalyptic number.

It is an amenable number.

385025168900 is an abundant number, since it is smaller than the sum of its proper divisors (450479447830).

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

385025168900 is a wasteful number, since it uses less digits than its factorization.

385025168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850251703 (or 3850251696 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 385025168900 in words is "three hundred eighty-five billion, twenty-five million, one hundred sixty-eight thousand, nine hundred".