385801234641 has 81 divisors (see below), whose sum is σ = 625749939633. Its totient is φ = 228972994560.

The previous prime is 385801234639. The next prime is 385801234649. The reversal of 385801234641 is 146432108583.

The square root of 385801234641 is 621129.

It is a perfect power (a square), and thus also a powerful number.

385801234641 is a `hidden beast` number, since 3 + 8 + 580 + 1 + 2 + 3 + 4 + 64 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 184465955025 + 201335279616 = 429495^2 + 448704^2 .

It is not a de Polignac number, because 385801234641 - 2¹ = 385801234639 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (385801234649) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 601873681 + ... + 601874321.

Almost surely, 2^385801234641 is an apocalyptic number.

385801234641 is the 621129-th square number.

385801234641 is the 310565-th centered octagonal number.

It is an amenable number.

385801234641 is a deficient number, since it is larger than the sum of its proper divisors (239948704992).

385801234641 is an equidigital number, since it uses as much as digits as its factorization.

385801234641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 385801234641 in words is "three hundred eighty-five billion, eight hundred one million, two hundred thirty-four thousand, six hundred forty-one".