18085825632 has 192 divisors, whose sum is σ = 58309009920. Its totient is φ = 4790624256.

The previous prime is 18085825631. The next prime is 18085825643. The reversal of 18085825632 is 23652858081.

It is a super-2 number, since 2×18085825632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18085825631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753594 + ... + 777222.

It is an arithmetic number, because the mean of its divisors is an integer number (303692760).

Almost surely, 2^18085825632 is an apocalyptic number.

18085825632 is a gapful number since it is divisible by the number (12) 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 18085825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29154504960).

18085825632 is an abundant number, since it is smaller than the sum of its proper divisors (40223184288).

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

18085825632 is a wasteful number, since it uses less digits than its factorization.

18085825632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23733 (or 23725 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 18085825632 in words is "eighteen billion, eighty-five million, eight hundred twenty-five thousand, six hundred thirty-two".