385648880093793 has 12 divisors (see below), whose sum is σ = 557052262608660. Its totient is φ = 257097462510816.

The previous prime is 385648880093693. The next prime is 385648880093833. The reversal of 385648880093793 is 397390088846583.

385648880093793 is a `hidden beast` number, since 3 + 8 + 56 + 488 + 80 + 0 + 9 + 3 + 7 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 108456748862049 + 277192131231744 = 10414257^2 + 16649088^2 .

It is not a de Polignac number, because 385648880093793 - 2¹⁰ = 385648880092769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (385648880093593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147875946 + ... + 150461267.

It is an arithmetic number, because the mean of its divisors is an integer number (46421021884055).

Almost surely, 2^{385648880093793} is an apocalyptic number.

It is an amenable number.

385648880093793 is a deficient number, since it is larger than the sum of its proper divisors (171403382514867).

385648880093793 is a wasteful number, since it uses less digits than its factorization.

385648880093793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298480848 (or 298480845 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 385648880093793 in words is "three hundred eighty-five trillion, six hundred forty-eight billion, eight hundred eighty million, ninety-three thousand, seven hundred ninety-three".