18138968064 has 208 divisors, whose sum is σ = 61418083840. Its totient is φ = 5182341120.

The previous prime is 18138968063. The next prime is 18138968117. The reversal of 18138968064 is 46086983181.

18138968064 is a `hidden beast` number, since 181 + 389 + 6 + 80 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 18138968064.

It is not an unprimeable number, because it can be changed into a prime (18138968063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762429 + ... + 785859.

Almost surely, 2^18138968064 is an apocalyptic number.

18138968064 is a gapful number since it is divisible by the number (14) 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 18138968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30709041920).

18138968064 is an abundant number, since it is smaller than the sum of its proper divisors (43279115776).

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

18138968064 is an equidigital number, since it uses as much as digits as its factorization.

18138968064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23471 (or 23443 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 18138968064 in words is "eighteen billion, one hundred thirty-eight million, nine hundred sixty-eight thousand, sixty-four".