18229248000 has 720 divisors, whose sum is σ = 70172758656. Its totient is φ = 4541644800.

The previous prime is 18229247969. The next prime is 18229248031. The reversal of 18229248000 is 84292281.

It is an interprime number because it is at equal distance from previous prime (18229247969) and next prime (18229248031).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423935979 + ... + 423936021.

Almost surely, 2^18229248000 is an apocalyptic number.

18229248000 is a gapful number since it is divisible by the number (10) 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 18229248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35086379328).

18229248000 is an abundant number, since it is smaller than the sum of its proper divisors (51943510656).

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

18229248000 is an equidigital number, since it uses as much as digits as its factorization.

18229248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 18229248000 in words is "eighteen billion, two hundred twenty-nine million, two hundred forty-eight thousand".