99826182144 has 576 divisors, whose sum is σ = 326258150400. Its totient is φ = 29196288000.

The previous prime is 99826182121. The next prime is 99826182149. The reversal of 99826182144 is 44128162899.

It is a happy number.

99826182144 is a `hidden beast` number, since 9 + 9 + 8 + 2 + 618 + 2 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99826182149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661100469 + ... + 661100619.

It is an arithmetic number, because the mean of its divisors is an integer number (566420400).

Almost surely, 2^99826182144 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 99826182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163129075200).

99826182144 is an abundant number, since it is smaller than the sum of its proper divisors (226431968256).

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

99826182144 is a wasteful number, since it uses less digits than its factorization.

99826182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 289 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 99826182144 in words is "ninety-nine billion, eight hundred twenty-six million, one hundred eighty-two thousand, one hundred forty-four".