18640918328256 has 280 divisors, whose sum is σ = 63162589163520. Its totient is φ = 5325037521408.

The previous prime is 18640918328251. The next prime is 18640918328273. The reversal of 18640918328256 is 65282381904681.

18640918328256 is a `hidden beast` number, since 1 + 8 + 6 + 40 + 9 + 18 + 328 + 256 = 666.

It is a super-4 number, since 4×18640918328256⁴ (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 18640918328193 and 18640918328202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18640918328251) 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 39 ways as a sum of consecutive naturals, for example, 220552501 + ... + 220637003.

It is an arithmetic number, because the mean of its divisors is an integer number (225580675584).

Almost surely, 2^{18640918328256} is an apocalyptic number.

18640918328256 is a gapful number since it is divisible by the number (16) 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 18640918328256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31581294581760).

18640918328256 is an abundant number, since it is smaller than the sum of its proper divisors (44521670835264).

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

18640918328256 is an equidigital number, since it uses as much as digits as its factorization.

18640918328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90613 (or 90594 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 18640918328256 in words is "eighteen trillion, six hundred forty billion, nine hundred eighteen million, three hundred twenty-eight thousand, two hundred fifty-six".