44500324401 has 63 divisors (see below), whose sum is σ = 72367474257. Its totient is φ = 27339249600.

The previous prime is 44500324391. The next prime is 44500324459. The reversal of 44500324401 is 10442300544.

It is a happy number.

The square root of 44500324401 is 210951.

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 11390625 + 44488933776 = 3375^2 + 210924^2 .

It is not a de Polignac number, because 44500324401 - 2¹³ = 44500316209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (44500324801) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 74043501 + ... + 74044101.

Almost surely, 2^44500324401 is an apocalyptic number.

44500324401 is the 210951-st square number.

44500324401 is the 105476-th centered octagonal number.

It is an amenable number.

44500324401 is a deficient number, since it is larger than the sum of its proper divisors (27867149856).

44500324401 is an frugal number, since it uses more digits than its factorization.

44500324401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 44500324401 its reverse (10442300544), we get a palindrome (54942624945).

The spelling of 44500324401 in words is "forty-four billion, five hundred million, three hundred twenty-four thousand, four hundred one".