18065735856 has 360 divisors, whose sum is σ = 61518562560. Its totient is φ = 5027557248.

The previous prime is 18065735843. The next prime is 18065735869. The reversal of 18065735856 is 65853756081.

18065735856 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 57 + 3 + 585 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (18065735843) and next prime (18065735869).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 50322205 + ... + 50322563.

It is an arithmetic number, because the mean of its divisors is an integer number (170884896).

Almost surely, 2^18065735856 is an apocalyptic number.

18065735856 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 18065735856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30759281280).

18065735856 is an abundant number, since it is smaller than the sum of its proper divisors (43452826704).

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

18065735856 is an equidigital number, since it uses as much as digits as its factorization.

18065735856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 18065735856 in words is "eighteen billion, sixty-five million, seven hundred thirty-five thousand, eight hundred fifty-six".