44402245577001 has 105 divisors (see below), whose sum is σ = 72070576721121. Its totient is φ = 27243377336448.

The previous prime is 44402245576961. The next prime is 44402245577009. The reversal of 44402245577001 is 10077554220444.

The square root of 44402245577001 is 6663501.

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

44402245577001 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 2 + 24 + 557 + 70 + 0 + 1 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1121372984601 + 43280872592400 = 1058949^2 + 6578820^2 .

It is not a de Polignac number, because 44402245577001 - 2¹⁹ = 44402245052713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (44402245577009) 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 104 ways as a sum of consecutive naturals, for example, 131757405105 + ... + 131757405441.

Almost surely, 2^{44402245577001} is an apocalyptic number.

44402245577001 is the 6663501-st square number.

44402245577001 is the 3331751-st centered octagonal number.

It is an amenable number.

44402245577001 is a deficient number, since it is larger than the sum of its proper divisors (27668331144120).

44402245577001 is an frugal number, since it uses more digits than its factorization.

44402245577001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 45.

Adding to 44402245577001 its reverse (10077554220444), we get a palindrome (54479799797445).

It can be divided in two parts, 4440224 and 5577001, that added together give a square (10017225 = 3165²).

The spelling of 44402245577001 in words is "forty-four trillion, four hundred two billion, two hundred forty-five million, five hundred seventy-seven thousand, one".