99415821312 has 176 divisors, whose sum is σ = 309919075200. Its totient is φ = 31394304000.

The previous prime is 99415821311. The next prime is 99415821317. The reversal of 99415821312 is 21312851499.

99415821312 is a `hidden beast` number, since 9 + 9 + 41 + 582 + 13 + 12 = 666.

It is a super-3 number, since 3×99415821312³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (99415821311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430687 + ... + 619937.

Almost surely, 2^99415821312 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 99415821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154959537600).

99415821312 is an abundant number, since it is smaller than the sum of its proper divisors (210503253888).

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

99415821312 is a wasteful number, since it uses less digits than its factorization.

99415821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189299 (or 189275 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 99415821312 in words is "ninety-nine billion, four hundred fifteen million, eight hundred twenty-one thousand, three hundred twelve".