18330329952 has 288 divisors, whose sum is σ = 60161512320. Its totient is φ = 5235701760.

The previous prime is 18330329939. The next prime is 18330330013. The reversal of 18330329952 is 25992303381.

18330329952 is a `hidden beast` number, since 1 + 8 + 3 + 303 + 299 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×18330329952² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18330329898 and 18330329907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14024083 + ... + 14025389.

It is an arithmetic number, because the mean of its divisors is an integer number (208894140).

Almost surely, 2^18330329952 is an apocalyptic number.

18330329952 is a gapful number since it is divisible by the number (12) 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 18330329952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30080756160).

18330329952 is an abundant number, since it is smaller than the sum of its proper divisors (41831182368).

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

18330329952 is a wasteful number, since it uses less digits than its factorization.

18330329952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 18330329952 in words is "eighteen billion, three hundred thirty million, three hundred twenty-nine thousand, nine hundred fifty-two".