18100063505664 has 1080 divisors, whose sum is σ = 63582498776160. Its totient is φ = 5134959857664.

The previous prime is 18100063505663. The next prime is 18100063505687. The reversal of 18100063505664 is 46650536000181.

18100063505664 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 0 + 0 + 635 + 0 + 5 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×18100063505664² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18100063505663) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26735691694 + ... + 26735692370.

It is an arithmetic number, because the mean of its divisors is an integer number (58872684052).

Almost surely, 2^{18100063505664} is an apocalyptic number.

18100063505664 is a gapful number since it is divisible by the number (14) 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 18100063505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31791249388080).

18100063505664 is an abundant number, since it is smaller than the sum of its proper divisors (45482435270496).

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

18100063505664 is an frugal number, since it uses more digits than its factorization.

18100063505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 18100063505664 in words is "eighteen trillion, one hundred billion, sixty-three million, five hundred five thousand, six hundred sixty-four".