49437037585361 has 16 divisors (see below), whose sum is σ = 53674952622480. Its totient is φ = 45349133598720.

The previous prime is 49437037585321. The next prime is 49437037585367. The reversal of 49437037585361 is 16358573073494.

49437037585361 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 8 ways, for example, as 6607290316225 + 42829747269136 = 2570465^2 + 6544444^2 .

It is a cyclic number.

It is not a de Polignac number, because 49437037585361 - 2²⁶ = 49436970476497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (49437037585367) 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 15 ways as a sum of consecutive naturals, for example, 34444556 + ... + 35851101.

It is an arithmetic number, because the mean of its divisors is an integer number (3354684538905).

Almost surely, 2^{49437037585361} is an apocalyptic number.

49437037585361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

49437037585361 is a deficient number, since it is larger than the sum of its proper divisors (4237915037119).

49437037585361 is a wasteful number, since it uses less digits than its factorization.

49437037585361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70296724.

The product of its (nonzero) digits is 228614400, while the sum is 65.

The spelling of 49437037585361 in words is "forty-nine trillion, four hundred thirty-seven billion, thirty-seven million, five hundred eighty-five thousand, three hundred sixty-one".