44137009057761 has 27 divisors (see below), whose sum is σ = 64533244555507. Its totient is φ = 29069069030880.

The previous prime is 44137009057717. The next prime is 44137009057793. The reversal of 44137009057761 is 16775090073144.

The square root of 44137009057761 is 6643569.

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

44137009057761 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 7 + 0 + 0 + 9 + 0 + 577 + 61 = 666.

44137009057761 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 only one way, i.e., 3308435361 + 44133700622400 = 57519^2 + 6643320^2 .

It is not a de Polignac number, because 44137009057761 - 2⁹ = 44137009057249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44137009057698 and 44137009057707.

It is not an unprimeable number, because it can be changed into a prime (44137009007761) 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 26 ways as a sum of consecutive naturals, for example, 1654235341 + ... + 1654262021.

Almost surely, 2^{44137009057761} is an apocalyptic number.

44137009057761 is the 6643569-th square number.

44137009057761 is the 3321785-th centered octagonal number.

It is an amenable number.

44137009057761 is a deficient number, since it is larger than the sum of its proper divisors (20396235497746).

44137009057761 is an frugal number, since it uses more digits than its factorization.

44137009057761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53534 (or 26767 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 44137009057761 in words is "forty-four trillion, one hundred thirty-seven billion, nine million, fifty-seven thousand, seven hundred sixty-one".