18764128088641 has 32 divisors (see below), whose sum is σ = 20610285696000. Its totient is φ = 16977291888960.

The previous prime is 18764128088627. The next prime is 18764128088669. The reversal of 18764128088641 is 14688082146781.

It is not a de Polignac number, because 18764128088641 - 2⁷ = 18764128088513 is a prime.

It is a super-2 number, since 2×18764128088641² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18764128088681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437381010 + ... + 437423908.

It is an arithmetic number, because the mean of its divisors is an integer number (644071428000).

Almost surely, 2^{18764128088641} is an apocalyptic number.

It is an amenable number.

18764128088641 is a deficient number, since it is larger than the sum of its proper divisors (1846157607359).

18764128088641 is a wasteful number, since it uses less digits than its factorization.

18764128088641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44629.

The product of its (nonzero) digits is 33030144, while the sum is 64.

The spelling of 18764128088641 in words is "eighteen trillion, seven hundred sixty-four billion, one hundred twenty-eight million, eighty-eight thousand, six hundred forty-one".