99845414280 has 192 divisors, whose sum is σ = 337173969600. Its totient is φ = 25593469440.

The previous prime is 99845414267. The next prime is 99845414303. The reversal of 99845414280 is 8241454899.

It is a happy number.

99845414280 is a `hidden beast` number, since 9 + 98 + 4 + 541 + 4 + 2 + 8 + 0 = 666.

It is an unprimeable number.

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, 2348815 + ... + 2390945.

It is an arithmetic number, because the mean of its divisors is an integer number (1756114425).

Almost surely, 2^99845414280 is an apocalyptic number.

99845414280 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99845414280 is the 157992-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99845414280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168586984800).

99845414280 is an abundant number, since it is smaller than the sum of its proper divisors (237328555320).

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

99845414280 is a wasteful number, since it uses less digits than its factorization.

99845414280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42404 (or 42397 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 99845414280 in words is "ninety-nine billion, eight hundred forty-five million, four hundred fourteen thousand, two hundred eighty".