18261345024 has 432 divisors, whose sum is σ = 59504192160. Its totient is φ = 5589762048.

The previous prime is 18261345013. The next prime is 18261345041. The reversal of 18261345024 is 42054316281.

It is a happy number.

18261345024 is a `hidden beast` number, since 18 + 2 + 6 + 134 + 502 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 18261345024.

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, 94618272 + ... + 94618464.

Almost surely, 2^18261345024 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 18261345024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29752096080).

18261345024 is an abundant number, since it is smaller than the sum of its proper divisors (41242847136).

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

18261345024 is an frugal number, since it uses more digits than its factorization.

18261345024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 18261345024 in words is "eighteen billion, two hundred sixty-one million, three hundred forty-five thousand, twenty-four".