18125837056 has 288 divisors, whose sum is σ = 42502118400. Its totient is φ = 7664025600.

The previous prime is 18125837021. The next prime is 18125837063. The reversal of 18125837056 is 65073852181.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 18125836997 and 18125837015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120038581 + ... + 120038731.

It is an arithmetic number, because the mean of its divisors is an integer number (147576800).

Almost surely, 2^18125837056 is an apocalyptic number.

18125837056 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 18125837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21251059200).

18125837056 is an abundant number, since it is smaller than the sum of its proper divisors (24376281344).

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

18125837056 is a wasteful number, since it uses less digits than its factorization.

18125837056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 18125837056 in words is "eighteen billion, one hundred twenty-five million, eight hundred thirty-seven thousand, fifty-six".