385154810321 has 16 divisors (see below), whose sum is σ = 409698291600. Its totient is φ = 360822079488.

The previous prime is 385154810309. The next prime is 385154810357. The reversal of 385154810321 is 123018451583.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4544782225 + 380610028096 = 67415^2 + 616936^2 .

It is a cyclic number.

It is not a de Polignac number, because 385154810321 - 2¹⁴ = 385154793937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (385154813321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13171565 + ... + 13200773.

It is an arithmetic number, because the mean of its divisors is an integer number (25606143225).

Almost surely, 2^385154810321 is an apocalyptic number.

It is an amenable number.

385154810321 is a deficient number, since it is larger than the sum of its proper divisors (24543481279).

385154810321 is a wasteful number, since it uses less digits than its factorization.

385154810321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32788.

The product of its (nonzero) digits is 115200, while the sum is 41.

The spelling of 385154810321 in words is "three hundred eighty-five billion, one hundred fifty-four million, eight hundred ten thousand, three hundred twenty-one".