18894334464 has 240 divisors, whose sum is σ = 58275154080. Its totient is φ = 5875752960.

The previous prime is 18894334391. The next prime is 18894334517. The reversal of 18894334464 is 46443349881.

18894334464 is a `hidden beast` number, since 1 + 88 + 94 + 33 + 446 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 18894334464.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5864374 + ... + 5867594.

It is an arithmetic number, because the mean of its divisors is an integer number (242813142).

Almost surely, 2^18894334464 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 18894334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29137577040).

18894334464 is an abundant number, since it is smaller than the sum of its proper divisors (39380819616).

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

18894334464 is a wasteful number, since it uses less digits than its factorization.

18894334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3312 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 18894334464 in words is "eighteen billion, eight hundred ninety-four million, three hundred thirty-four thousand, four hundred sixty-four".