99928992609601 has 9 divisors (see below), whose sum is σ = 100485956175753. Its totient is φ = 99375099366960.

The previous prime is 99928992609587. The next prime is 99928992609653. The reversal of 99928992609601 is 10690629982999.

The square root of 99928992609601 is 9996449.

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 774398240001 + 99154594369600 = 879999^2 + 9957640^2 .

It is not a de Polignac number, because 99928992609601 - 2¹⁷ = 99928992478529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99928992609401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1809329655 + ... + 1809384883.

Almost surely, 2^{99928992609601} is an apocalyptic number.

99928992609601 is the 9996449-th square number.

99928992609601 is the 4998225-th centered octagonal number.

It is an amenable number.

99928992609601 is a deficient number, since it is larger than the sum of its proper divisors (556963566152).

99928992609601 is an frugal number, since it uses more digits than its factorization.

99928992609601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110820 (or 55410 counting only the distinct ones).

The product of its (nonzero) digits is 612220032, while the sum is 79.

It can be divided in two parts, 9992899 and 2609601, that added together give a square (12602500 = 3550²).

The spelling of 99928992609601 in words is "ninety-nine trillion, nine hundred twenty-eight billion, nine hundred ninety-two million, six hundred nine thousand, six hundred one".