99458833984000 has 160 divisors (see below), whose sum is σ = 248024055975696. Its totient is φ = 39780768563200.

The previous prime is 99458833983947. The next prime is 99458833984007. The reversal of 99458833984000 is 48933885499.

It can be written as a sum of positive squares in 8 ways, for example, as 9157450672384 + 90301383311616 = 3026128^2 + 9502704^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (99458833984007) 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 15 ways as a sum of consecutive naturals, for example, 1093906542 + ... + 1093997458.

Almost surely, 2^{99458833984000} 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 99458833984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124012027987848).

99458833984000 is an abundant number, since it is smaller than the sum of its proper divisors (148565221991696).

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

99458833984000 is an equidigital number, since it uses as much as digits as its factorization.

99458833984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108043 (or 108017 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 70.

The spelling of 99458833984000 in words is "ninety-nine trillion, four hundred fifty-eight billion, eight hundred thirty-three million, nine hundred eighty-four thousand".