388975495041 has 81 divisors (see below), whose sum is σ = 694690018659. Its totient is φ = 209077158528.

The previous prime is 388975495019. The next prime is 388975495099. The reversal of 388975495041 is 140594579883.

The square root of 388975495041 is 623679.

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

388975495041 is a `hidden beast` number, since 3 + 8 + 89 + 7 + 5 + 49 + 504 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 302835593025 + 86139902016 = 550305^2 + 293496^2 .

It is not a de Polignac number, because 388975495041 - 2¹⁵ = 388975462273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 388975495041.

It is not an unprimeable number, because it can be changed into a prime (388975495141) 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, 222652530 + ... + 222654276.

Almost surely, 2^388975495041 is an apocalyptic number.

388975495041 is the 623679-th square number.

388975495041 is the 311840-th centered octagonal number.

It is an amenable number.

388975495041 is a deficient number, since it is larger than the sum of its proper divisors (305714523618).

388975495041 is an equidigital number, since it uses as much as digits as its factorization.

388975495041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 388975495041 in words is "three hundred eighty-eight billion, nine hundred seventy-five million, four hundred ninety-five thousand, forty-one".