1218267648 has 160 divisors (see below), whose sum is σ = 3884126400. Its totient is φ = 374796288.

The previous prime is 1218267619. The next prime is 1218267649. The reversal of 1218267648 is 8467628121.

It is not an unprimeable number, because it can be changed into a prime (1218267649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176323 + ... + 183101.

It is an arithmetic number, because the mean of its divisors is an integer number (24275790).

Almost surely, 2^1218267648 is an apocalyptic number.

1218267648 is a gapful number since it is divisible by the number (18) 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 1218267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942063200).

1218267648 is an abundant number, since it is smaller than the sum of its proper divisors (2665858752).

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

1218267648 is an equidigital number, since it uses as much as digits as its factorization.

1218267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6819 (or 6797 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 1218267648 is about 34903.6910369090. The cubic root of 1218267648 is about 1068.0237338495.

The spelling of 1218267648 in words is "one billion, two hundred eighteen million, two hundred sixty-seven thousand, six hundred forty-eight".