37144234484449 has 27 divisors (see below), whose sum is σ = 38038992097977. Its totient is φ = 36270420205824.

The previous prime is 37144234484447. The next prime is 37144234484503. The reversal of 37144234484449 is 94448443244173.

It is a happy number.

The square root of 37144234484449 is 6094607.

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 170781348049 + 36973453136400 = 413257^2 + 6080580^2 .

It is not a de Polignac number, because 37144234484449 - 2¹ = 37144234484447 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37144234484443) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49067680579 + ... + 49067681335.

Almost surely, 2^{37144234484449} is an apocalyptic number.

37144234484449 is the 6094607-th square number.

37144234484449 is the 3047304-th centered octagonal number.

It is an amenable number.

37144234484449 is a deficient number, since it is larger than the sum of its proper divisors (894757613528).

37144234484449 is an frugal number, since it uses more digits than its factorization.

37144234484449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 937 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 61.

The spelling of 37144234484449 in words is "thirty-seven trillion, one hundred forty-four billion, two hundred thirty-four million, four hundred eighty-four thousand, four hundred forty-nine".