18335326464 has 729 divisors, whose sum is σ = 68808081069. Its totient is φ = 4679700480.

The previous prime is 18335326459. The next prime is 18335326469. The reversal of 18335326464 is 46462353381.

The square root of 18335326464 is 135408.

It is a perfect power (a square), and thus also a powerful number.

18335326464 is a `hidden beast` number, since 183 + 3 + 5 + 3 + 2 + 6 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (18335326459) and next prime (18335326469).

It can be written as a sum of positive squares in only one way, i.e., 2712326400 + 15623000064 = 52080^2 + 124992^2 .

It is not an unprimeable number, because it can be changed into a prime (18335326469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 591462129 + ... + 591462159.

Almost surely, 2^18335326464 is an apocalyptic number.

18335326464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18335326464 is the 135408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18335326464

18335326464 is an abundant number, since it is smaller than the sum of its proper divisors (50472754605).

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

18335326464 is a wasteful number, since it uses less digits than its factorization.

18335326464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 18335326464 in words is "eighteen billion, three hundred thirty-five million, three hundred twenty-six thousand, four hundred sixty-four".