18198541152 has 144 divisors (see below), whose sum is σ = 56640297168. Its totient is φ = 5496791040.

The previous prime is 18198541111. The next prime is 18198541217. The reversal of 18198541152 is 25114589181.

18198541152 is a `hidden beast` number, since 1 + 8 + 1 + 98 + 541 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×18198541152² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 18198541098 and 18198541107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982408 + ... + 1000760.

It is an arithmetic number, because the mean of its divisors is an integer number (393335397).

Almost surely, 2^18198541152 is an apocalyptic number.

18198541152 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 18198541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28320148584).

18198541152 is an abundant number, since it is smaller than the sum of its proper divisors (38441756016).

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

18198541152 is a wasteful number, since it uses less digits than its factorization.

18198541152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18693 (or 18682 counting only the distinct ones).

The product of its digits is 115200, while the sum is 45.

The spelling of 18198541152 in words is "eighteen billion, one hundred ninety-eight million, five hundred forty-one thousand, one hundred fifty-two".