18143457905664 has 1056 divisors, whose sum is σ = 67445502532800. Its totient is φ = 4775663370240.

The previous prime is 18143457905659. The next prime is 18143457905669. The reversal of 18143457905664 is 46650975434181.

18143457905664 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 3 + 4 + 579 + 0 + 56 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (18143457905659) and next prime (18143457905669).

It is a super-2 number, since 2×18143457905664² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (18143457905669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17770281474 + ... + 17770282494.

Almost surely, 2^{18143457905664} is an apocalyptic number.

18143457905664 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 18143457905664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33722751266400).

18143457905664 is an abundant number, since it is smaller than the sum of its proper divisors (49302044627136).

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

18143457905664 is a wasteful number, since it uses less digits than its factorization.

18143457905664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 18143457905664 in words is "eighteen trillion, one hundred forty-three billion, four hundred fifty-seven million, nine hundred five thousand, six hundred sixty-four".