37813524849 has 27 divisors (see below), whose sum is σ = 55715093707. Its totient is φ = 24713151216.

The previous prime is 37813524839. The next prime is 37813524869. The reversal of 37813524849 is 94842531873.

It is a happy number.

The square root of 37813524849 is 194457.

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

37813524849 is a `hidden beast` number, since 3 + 78 + 1 + 3 + 524 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27259661025 + 10553863824 = 165105^2 + 102732^2 .

It is not a de Polignac number, because 37813524849 - 2⁵ = 37813524817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 37813524795 and 37813524804.

It is not an unprimeable number, because it can be changed into a prime (37813524839) 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 26 ways as a sum of consecutive naturals, for example, 30918052 + ... + 30919274.

Almost surely, 2^37813524849 is an apocalyptic number.

37813524849 is the 194457-th square number.

37813524849 is the 97229-th centered octagonal number.

It is an amenable number.

37813524849 is a deficient number, since it is larger than the sum of its proper divisors (17901568858).

37813524849 is an frugal number, since it uses more digits than its factorization.

37813524849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 1279 counting only the distinct ones).

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

The spelling of 37813524849 in words is "thirty-seven billion, eight hundred thirteen million, five hundred twenty-four thousand, eight hundred forty-nine".