44938239552801 has 243 divisors, whose sum is σ = 81480788313561. Its totient is φ = 23793164373888.

The previous prime is 44938239552761. The next prime is 44938239552809. The reversal of 44938239552801 is 10825593283944.

The square root of 44938239552801 is 6703599.

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

44938239552801 is a `hidden beast` number, since 4 + 4 + 93 + 82 + 395 + 5 + 2 + 80 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4386306111201 + 40551933441600 = 2094351^2 + 6368040^2 .

It is not a de Polignac number, because 44938239552801 - 2⁷ = 44938239552673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (44938239552809) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 141761007895 + ... + 141761008211.

Almost surely, 2^{44938239552801} is an apocalyptic number.

44938239552801 is the 6703599-th square number.

44938239552801 is the 3351800-th centered octagonal number.

It is an amenable number.

44938239552801 is a deficient number, since it is larger than the sum of its proper divisors (36542548760760).

44938239552801 is an equidigital number, since it uses as much as digits as its factorization.

44938239552801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 44938239552801 in words is "forty-four trillion, nine hundred thirty-eight billion, two hundred thirty-nine million, five hundred fifty-two thousand, eight hundred one".