18853953218064 has 140 divisors (see below), whose sum is σ = 54781919604396. Its totient is φ = 6283196925696.

The previous prime is 18853953218063. The next prime is 18853953218123. The reversal of 18853953218064 is 46081235935881.

18853953218064 is a `hidden beast` number, since 1 + 8 + 8 + 5 + 39 + 532 + 1 + 8 + 0 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15492568323600 + 3361384894464 = 3936060^2 + 1833408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18853953217992 and 18853953218010.

It is not an unprimeable number, because it can be changed into a prime (18853953218063) 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 27 ways as a sum of consecutive naturals, for example, 50821854 + ... + 51191490.

Almost surely, 2^{18853953218064} 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 18853953218064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27390959802198).

18853953218064 is an abundant number, since it is smaller than the sum of its proper divisors (35927966386332).

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

18853953218064 is an equidigital number, since it uses as much as digits as its factorization.

18853953218064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374036 (or 374015 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 18853953218064 in words is "eighteen trillion, eight hundred fifty-three billion, nine hundred fifty-three million, two hundred eighteen thousand, sixty-four".