388805872849 has 27 divisors (see below), whose sum is σ = 423347000913. Its totient is φ = 357005803392.

The previous prime is 388805872823. The next prime is 388805872879. The reversal of 388805872849 is 948278508883.

The square root of 388805872849 is 623543.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23288896449 + 365516976400 = 152607^2 + 604580^2 .

It is not a de Polignac number, because 388805872849 - 2¹¹ = 388805870801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (388805872879) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 455809507 + ... + 455810359.

Almost surely, 2^388805872849 is an apocalyptic number.

388805872849 is the 623543-rd square number.

388805872849 is the 311772-nd centered octagonal number.

It is an amenable number.

388805872849 is a deficient number, since it is larger than the sum of its proper divisors (34541128064).

388805872849 is an frugal number, since it uses more digits than its factorization.

388805872849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 70.

The spelling of 388805872849 in words is "three hundred eighty-eight billion, eight hundred five million, eight hundred seventy-two thousand, eight hundred forty-nine".