99309470819328 has 1760 divisors, whose sum is σ = 376362093381120. Its totient is φ = 25652608450560.

The previous prime is 99309470819267. The next prime is 99309470819359. The reversal of 99309470819328 is 82391807490399.

99309470819328 is a `hidden beast` number, since 99 + 30 + 9 + 470 + 8 + 1 + 9 + 32 + 8 = 666.

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 159 ways as a sum of consecutive naturals, for example, 224174877475 + ... + 224174877917.

It is an arithmetic number, because the mean of its divisors is an integer number (213842098512).

Almost surely, 2^{99309470819328} is an apocalyptic number.

99309470819328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99309470819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188181046690560).

99309470819328 is an abundant number, since it is smaller than the sum of its proper divisors (277052622561792).

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

99309470819328 is a wasteful number, since it uses less digits than its factorization.

99309470819328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 99309470819328 in words is "ninety-nine trillion, three hundred nine billion, four hundred seventy million, eight hundred nineteen thousand, three hundred twenty-eight".