37516978249 has 9 divisors (see below), whose sum is σ = 37885648437. Its totient is φ = 37151866944.

The previous prime is 37516978243. The next prime is 37516978253. The reversal of 37516978249 is 94287961573.

The square root of 37516978249 is 193693.

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 1618855225 + 35898123024 = 40235^2 + 189468^2 .

It is not a de Polignac number, because 37516978249 - 2³³ = 28927043657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37516978243) 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 8 ways as a sum of consecutive naturals, for example, 21111649 + ... + 21113425.

It is an arithmetic number, because the mean of its divisors is an integer number (4209516493).

Almost surely, 2^37516978249 is an apocalyptic number.

37516978249 is the 193693-rd square number.

37516978249 is the 96847-th centered octagonal number.

It is an amenable number.

37516978249 is a deficient number, since it is larger than the sum of its proper divisors (368670188).

37516978249 is an frugal number, since it uses more digits than its factorization.

37516978249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 1886 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 61.

The spelling of 37516978249 in words is "thirty-seven billion, five hundred sixteen million, nine hundred seventy-eight thousand, two hundred forty-nine".