18894683395008 has 896 divisors, whose sum is σ = 62096785981440. Its totient is φ = 5612694405120.

The previous prime is 18894683395001. The next prime is 18894683395097. The reversal of 18894683395008 is 80059338649881.

18894683395008 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 4 + 6 + 83 + 39 + 500 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18894683395001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4421875560 + ... + 4421879832.

It is an arithmetic number, because the mean of its divisors is an integer number (69304448640).

Almost surely, 2^{18894683395008} is an apocalyptic number.

18894683395008 is a gapful number since it is divisible by the number (18) 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 18894683395008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31048392990720).

18894683395008 is an abundant number, since it is smaller than the sum of its proper divisors (43202102586432).

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

18894683395008 is a wasteful number, since it uses less digits than its factorization.

18894683395008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4466 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 18894683395008 in words is "eighteen trillion, eight hundred ninety-four billion, six hundred eighty-three million, three hundred ninety-five thousand, eight".