99923241600 has 1536 divisors, whose sum is σ = 458970624000. Its totient is φ = 20669644800.

The previous prime is 99923241589. The next prime is 99923241611. The reversal of 99923241600 is 614232999.

It is a happy number.

99923241600 is a `hidden beast` number, since 9 + 9 + 9 + 2 + 32 + 4 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (99923241589) and next prime (99923241611).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 558230311 + ... + 558230489.

It is an arithmetic number, because the mean of its divisors is an integer number (298809000).

Almost surely, 2^99923241600 is an apocalyptic number.

99923241600 is a gapful number since it is divisible by the number (90) 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 99923241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229485312000).

99923241600 is an abundant number, since it is smaller than the sum of its proper divisors (359047382400).

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

99923241600 is a wasteful number, since it uses less digits than its factorization.

99923241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 99923241600 in words is "ninety-nine billion, nine hundred twenty-three million, two hundred forty-one thousand, six hundred".