385461688608 has 144 divisors (see below), whose sum is σ = 1104529136256. Its totient is φ = 127508398080.

The previous prime is 385461688607. The next prime is 385461688613. The reversal of 385461688608 is 806886164583.

385461688608 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 6 + 16 + 8 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (385461688607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30823285 + ... + 30835787.

It is an arithmetic number, because the mean of its divisors is an integer number (7670341224).

Almost surely, 2^385461688608 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 385461688608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552264568128).

385461688608 is an abundant number, since it is smaller than the sum of its proper divisors (719067447648).

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

385461688608 is a wasteful number, since it uses less digits than its factorization.

385461688608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13327 (or 13316 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 385461688608 in words is "three hundred eighty-five billion, four hundred sixty-one million, six hundred eighty-eight thousand, six hundred eight".