18242709072 has 160 divisors (see below), whose sum is σ = 56914452480. Its totient is φ = 4922311680.

The previous prime is 18242709071. The next prime is 18242709169. The reversal of 18242709072 is 27090724281.

It is a super-2 number, since 2×18242709072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18242709071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595572 + ... + 625452.

It is an arithmetic number, because the mean of its divisors is an integer number (355715328).

Almost surely, 2^18242709072 is an apocalyptic number.

18242709072 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 18242709072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28457226240).

18242709072 is an abundant number, since it is smaller than the sum of its proper divisors (38671743408).

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

18242709072 is a wasteful number, since it uses less digits than its factorization.

18242709072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30001 (or 29995 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 18242709072 in words is "eighteen billion, two hundred forty-two million, seven hundred nine thousand, seventy-two".