18525782016 has 306 divisors, whose sum is σ = 62353358262. Its totient is φ = 5284823040.

The previous prime is 18525781987. The next prime is 18525782017. The reversal of 18525782016 is 61028752581.

18525782016 is a `hidden beast` number, since 1 + 8 + 52 + 578 + 20 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18063360000 + 462422016 = 134400^2 + 21504^2 .

It is not an unprimeable number, because it can be changed into a prime (18525782017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28901056 + ... + 28901696.

Almost surely, 2^18525782016 is an apocalyptic number.

18525782016 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 18525782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31176679131).

18525782016 is an abundant number, since it is smaller than the sum of its proper divisors (43827576246).

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

18525782016 is an frugal number, since it uses more digits than its factorization.

18525782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 18525782016 in words is "eighteen billion, five hundred twenty-five million, seven hundred eighty-two thousand, sixteen".