18266829984 has 288 divisors, whose sum is σ = 57164889600. Its totient is φ = 5499187200.

The previous prime is 18266829983. The next prime is 18266830079. The reversal of 18266829984 is 48992866281.

18266829984 is a `hidden beast` number, since 1 + 8 + 266 + 8 + 299 + 84 = 666.

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

It is a super-2 number, since 2×18266829984² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (18266829983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44661972 + ... + 44662380.

It is an arithmetic number, because the mean of its divisors is an integer number (198489200).

Almost surely, 2^18266829984 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 18266829984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28582444800).

18266829984 is an abundant number, since it is smaller than the sum of its proper divisors (38898059616).

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

18266829984 is a wasteful number, since it uses less digits than its factorization.

18266829984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 657 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 63.

The spelling of 18266829984 in words is "eighteen billion, two hundred sixty-six million, eight hundred twenty-nine thousand, nine hundred eighty-four".