99770072319009 has 45 divisors (see below), whose sum is σ = 150015806487657. Its totient is φ = 66080380201056.

The previous prime is 99770072318999. The next prime is 99770072319037. The reversal of 99770072319009 is 90091327007799.

The square root of 99770072319009 is 9988497.

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 12767293728225 + 87002778590784 = 3573135^2 + 9327528^2 .

It is not a de Polignac number, because 99770072319009 - 2⁷ = 99770072318881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (99770072319089) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14113742727 + ... + 14113749795.

Almost surely, 2^{99770072319009} is an apocalyptic number.

99770072319009 is the 9988497-th square number.

99770072319009 is the 4994249-th centered octagonal number.

It is an amenable number.

99770072319009 is a deficient number, since it is larger than the sum of its proper divisors (50245734168648).

99770072319009 is an frugal number, since it uses more digits than its factorization.

99770072319009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14464 (or 7229 counting only the distinct ones).

The product of its (nonzero) digits is 13502538, while the sum is 63.

The spelling of 99770072319009 in words is "ninety-nine trillion, seven hundred seventy billion, seventy-two million, three hundred nineteen thousand, nine".