18307441152 has 1120 divisors, whose sum is σ = 75138940800. Its totient is φ = 4389396480.

The previous prime is 18307441147. The next prime is 18307441157. The reversal of 18307441152 is 25114470381.

It is an interprime number because it is at equal distance from previous prime (18307441147) and next prime (18307441157).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18307441157) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 1408264698 + ... + 1408264710.

It is an arithmetic number, because the mean of its divisors is an integer number (67088340).

Almost surely, 2^18307441152 is an apocalyptic number.

18307441152 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 18307441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37569470400).

18307441152 is an abundant number, since it is smaller than the sum of its proper divisors (56831499648).

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

18307441152 is an frugal number, since it uses more digits than its factorization.

18307441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 18307441152 in words is "eighteen billion, three hundred seven million, four hundred forty-one thousand, one hundred fifty-two".