18409305096 has 288 divisors, whose sum is σ = 64618608600. Its totient is φ = 4687441920.

The previous prime is 18409305073. The next prime is 18409305097. The reversal of 18409305096 is 69050390481.

It is a happy number.

18409305096 is a `hidden beast` number, since 18 + 40 + 93 + 0 + 509 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11317980996 + 7091324100 = 106386^2 + 84210^2 .

It is a super-2 number, since 2×18409305096² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18409305097) 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 71 ways as a sum of consecutive naturals, for example, 1323136 + ... + 1336976.

Almost surely, 2^18409305096 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 18409305096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32309304300).

18409305096 is an abundant number, since it is smaller than the sum of its proper divisors (46209303504).

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

18409305096 is a wasteful number, since it uses less digits than its factorization.

18409305096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13909 (or 13895 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 18409305096 in words is "eighteen billion, four hundred nine million, three hundred five thousand, ninety-six".