18345885696 has 192 divisors, whose sum is σ = 55029265200. Its totient is φ = 6115295232.

The previous prime is 18345885673. The next prime is 18345885697. The reversal of 18345885696 is 69658854381.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁷ ⋅ (2!)².

18345885696 is a `hidden beast` number, since 18 + 3 + 4 + 58 + 8 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (49766400) is a multiple of the sum of its prime divisors (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18345885697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6115295231 + 6115295232 + 6115295233.

Almost surely, 2^18345885696 is an apocalyptic number.

18345885696 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 18345885696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27514632600).

18345885696 is an abundant number, since it is smaller than the sum of its proper divisors (36683379504).

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

18345885696 is an frugal number, since it uses more digits than its factorization.

18345885696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 5 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 18345885696 in words is "eighteen billion, three hundred forty-five million, eight hundred eighty-five thousand, six hundred ninety-six".