99944987568001 has 27 divisors (see below), whose sum is σ = 110272503814851. Its totient is φ = 90564038977104.

The previous prime is 99944987567987. The next prime is 99944987568011. The reversal of 99944987568001 is 10086578944999.

The square root of 99944987568001 is 9997249.

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

It can be written as a sum of positive squares in only one way, i.e., 88480831280625 + 11464156287376 = 9406425^2 + 3385876^2 .

It is not a de Polignac number, because 99944987568001 - 2¹⁷ = 99944987436929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99944987568011) 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, 4368786375 + ... + 4368809251.

Almost surely, 2^{99944987568001} is an apocalyptic number.

99944987568001 is the 9997249-th square number.

99944987568001 is the 4998625-th centered octagonal number.

It is an amenable number.

99944987568001 is a deficient number, since it is larger than the sum of its proper divisors (10327516246850).

99944987568001 is an frugal number, since it uses more digits than its factorization.

99944987568001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45838 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 1410877440, while the sum is 79.

The spelling of 99944987568001 in words is "ninety-nine trillion, nine hundred forty-four billion, nine hundred eighty-seven million, five hundred sixty-eight thousand, one".