99769173356304 has 675 divisors, whose sum is σ = 324117602869797. Its totient is φ = 29618237316096.

The previous prime is 99769173356267. The next prime is 99769173356351. The reversal of 99769173356304 is 40365337196799.

The square root of 99769173356304 is 9988452.

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

99769173356304 is a `hidden beast` number, since 9 + 9 + 76 + 9 + 173 + 356 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77674961955600 + 22094211400704 = 8813340^2 + 4700448^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 116145719427 + ... + 116145720285.

Almost surely, 2^{99769173356304} is an apocalyptic number.

99769173356304 is the 9988452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99769173356304

99769173356304 is an abundant number, since it is smaller than the sum of its proper divisors (224348429513493).

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

99769173356304 is an equidigital number, since it uses as much as digits as its factorization.

99769173356304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 694416240, while the sum is 72.

The spelling of 99769173356304 in words is "ninety-nine trillion, seven hundred sixty-nine billion, one hundred seventy-three million, three hundred fifty-six thousand, three hundred four".