385301687616 has 42 divisors (see below), whose sum is σ = 1104397720842. Its totient is φ = 128433895680.

The previous prime is 385301687611. The next prime is 385301687657. The reversal of 385301687616 is 616786103583.

385301687616 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 0 + 16 + 8 + 7 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219248697600 + 166052990016 = 468240^2 + 407496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385301687611) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 334462695 + ... + 334463846.

Almost surely, 2^385301687616 is an apocalyptic number.

385301687616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

385301687616 is an abundant number, since it is smaller than the sum of its proper divisors (719096033226).

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

385301687616 is a wasteful number, since it uses less digits than its factorization.

385301687616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668926559 (or 668926546 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 385301687616 in words is "three hundred eighty-five billion, three hundred one million, six hundred eighty-seven thousand, six hundred sixteen".