38811758049 has 27 divisors (see below), whose sum is σ = 56729134137. Its totient is φ = 25569932544.

The previous prime is 38811758039. The next prime is 38811758053. The reversal of 38811758049 is 94085711883.

The square root of 38811758049 is 197007.

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

38811758049 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 17 + 580 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14494474449 + 24317283600 = 120393^2 + 155940^2 .

It is not a de Polignac number, because 38811758049 - 2⁵ = 38811758017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38811757986 and 38811758004.

It is not an unprimeable number, because it can be changed into a prime (38811758039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57328699 + ... + 57329375.

Almost surely, 2^38811758049 is an apocalyptic number.

38811758049 is the 197007-th square number.

38811758049 is the 98504-th centered octagonal number.

It is an amenable number.

38811758049 is a deficient number, since it is larger than the sum of its proper divisors (17917376088).

38811758049 is an frugal number, since it uses more digits than its factorization.

38811758049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 38811758049 in words is "thirty-eight billion, eight hundred eleven million, seven hundred fifty-eight thousand, forty-nine".