18145656966528 has 384 divisors, whose sum is σ = 64283373161280. Its totient is φ = 4784364306432.

The previous prime is 18145656966461. The next prime is 18145656966529. The reversal of 18145656966528 is 82566965654181.

18145656966528 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 5 + 6 + 5 + 6 + 96 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×18145656966528² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18145656966529) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420669250 + ... + 420712382.

Almost surely, 2^{18145656966528} is an apocalyptic number.

18145656966528 is a gapful number since it is divisible by the number (18) 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 18145656966528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32141686580640).

18145656966528 is an abundant number, since it is smaller than the sum of its proper divisors (46137716194752).

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

18145656966528 is a wasteful number, since it uses less digits than its factorization.

18145656966528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47186 (or 47171 counting only the distinct ones).

The product of its digits is 746496000, while the sum is 72.

The spelling of 18145656966528 in words is "eighteen trillion, one hundred forty-five billion, six hundred fifty-six million, nine hundred sixty-six thousand, five hundred twenty-eight".