37063049971249 has 15 divisors (see below), whose sum is σ = 38101146418797. Its totient is φ = 36053236777896.

The previous prime is 37063049971243. The next prime is 37063049971333. The reversal of 37063049971249 is 94217994036073.

The square root of 37063049971249 is 6087943.

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

37063049971249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 23109239140849 + 13953810830400 = 4807207^2 + 3735480^2 .

It is not a de Polignac number, because 37063049971249 - 2²³ = 37063041582641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37063049971243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8334391744 + ... + 8334396190.

Almost surely, 2^{37063049971249} is an apocalyptic number.

37063049971249 is the 6087943-rd square number.

37063049971249 is the 3043972-nd centered octagonal number.

It is an amenable number.

37063049971249 is a deficient number, since it is larger than the sum of its proper divisors (1038096447548).

37063049971249 is an frugal number, since it uses more digits than its factorization.

37063049971249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9042 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 64.

The spelling of 37063049971249 in words is "thirty-seven trillion, sixty-three billion, forty-nine million, nine hundred seventy-one thousand, two hundred forty-nine".