18688061782468 has 48 divisors (see below), whose sum is σ = 35402417190000. Its totient is φ = 8580600211968.

The previous prime is 18688061782441. The next prime is 18688061782469. The reversal of 18688061782468 is 86428716088681.

It can be written as a sum of positive squares in 8 ways, for example, as 9373345574464 + 9314716208004 = 3061592^2 + 3052002^2 .

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 18688061782468.

It is not an unprimeable number, because it can be changed into a prime (18688061782469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13996458 + ... + 15273406.

It is an arithmetic number, because the mean of its divisors is an integer number (737550358125).

Almost surely, 2^{18688061782468} is an apocalyptic number.

It is an amenable number.

18688061782468 is a deficient number, since it is larger than the sum of its proper divisors (16714355407532).

18688061782468 is a wasteful number, since it uses less digits than its factorization.

18688061782468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278424 (or 1278422 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 73.

The spelling of 18688061782468 in words is "eighteen trillion, six hundred eighty-eight billion, sixty-one million, seven hundred eighty-two thousand, four hundred sixty-eight".