99145572952968 has 192 divisors, whose sum is σ = 272814125641200. Its totient is φ = 32523970406400.

The previous prime is 99145572952961. The next prime is 99145572952981. The reversal of 99145572952968 is 86925927554199.

99145572952968 is a `hidden beast` number, since 9 + 9 + 1 + 4 + 5 + 5 + 7 + 29 + 529 + 68 = 666.

It is a Cunningham number, because it is equal to 9957187²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 99123568790724 + 22004162244 = 9956082^2 + 148338^2 .

It is not an unprimeable number, because it can be changed into a prime (99145572952961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6890365518 + ... + 6890379906.

Almost surely, 2^{99145572952968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99145572952968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136407062820600).

99145572952968 is an abundant number, since it is smaller than the sum of its proper divisors (173668552688232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99145572952968 is a wasteful number, since it uses less digits than its factorization.

99145572952968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20152 (or 20145 counting only the distinct ones).

The product of its digits is 4408992000, while the sum is 81.

The spelling of 99145572952968 in words is "ninety-nine trillion, one hundred forty-five billion, five hundred seventy-two million, nine hundred fifty-two thousand, nine hundred sixty-eight".