388743521049 has 75 divisors (see below), whose sum is σ = 637555892523. Its totient is φ = 235949702976.

The previous prime is 388743521021. The next prime is 388743521077. The reversal of 388743521049 is 940125347883.

It is a happy number.

The square root of 388743521049 is 623493.

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

388743521049 is a `hidden beast` number, since 3 + 8 + 8 + 74 + 3 + 521 + 0 + 49 = 666.

It is an interprime number because it is at equal distance from previous prime (388743521021) and next prime (388743521077).

It can be written as a sum of positive squares in 7 ways, for example, as 289223462025 + 99520059024 = 537795^2 + 315468^2 .

It is not a de Polignac number, because 388743521049 - 2⁹ = 388743520537 is a prime.

It is a super-2 number, since 2×388743521049² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 388743520986 and 388743521004.

It is not an unprimeable number, because it can be changed into a prime (388743021049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 5325253677 + ... + 5325253749.

Almost surely, 2^388743521049 is an apocalyptic number.

388743521049 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

388743521049 is the 623493-rd square number.

388743521049 is the 311747-th centered octagonal number.

It is an amenable number.

388743521049 is a deficient number, since it is larger than the sum of its proper divisors (248812371474).

388743521049 is an frugal number, since it uses more digits than its factorization.

388743521049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 388743521049 in words is "three hundred eighty-eight billion, seven hundred forty-three million, five hundred twenty-one thousand, forty-nine".