1218071456 has 192 divisors, whose sum is σ = 3048192000. Its totient is φ = 467389440.

The previous prime is 1218071441. The next prime is 1218071473. The reversal of 1218071456 is 6541708121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8763035 + ... + 8763173.

It is an arithmetic number, because the mean of its divisors is an integer number (15876000).

Almost surely, 2^1218071456 is an apocalyptic number.

1218071456 is a gapful number since it is divisible by the number (16) 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 1218071456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

1218071456 is an abundant number, since it is smaller than the sum of its proper divisors (1830120544).

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

1218071456 is a wasteful number, since it uses less digits than its factorization.

1218071456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 1218071456 is about 34900.8804473469. The cubic root of 1218071456 is about 1067.9663986212.

Adding to 1218071456 its reverse (6541708121), we get a palindrome (7759779577).

The spelling of 1218071456 in words is "one billion, two hundred eighteen million, seventy-one thousand, four hundred fifty-six".