184961040096 has 288 divisors, whose sum is σ = 620373116160. Its totient is φ = 47887386624.

The previous prime is 184961040083. The next prime is 184961040101. The reversal of 184961040096 is 690040169481.

184961040096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 2010660 + ... + 2100636.

It is an arithmetic number, because the mean of its divisors is an integer number (2154073320).

Almost surely, 2^184961040096 is an apocalyptic number.

184961040096 is a gapful number since it is divisible by the number (16) 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 184961040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310186558080).

184961040096 is an abundant number, since it is smaller than the sum of its proper divisors (435412076064).

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

184961040096 is a wasteful number, since it uses less digits than its factorization.

184961040096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90046 (or 90031 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 184961040096 in words is "one hundred eighty-four billion, nine hundred sixty-one million, forty thousand, ninety-six".