1218116758320 has 1080 divisors, whose sum is σ = 5515191188208. Its totient is φ = 238204108800.

The previous prime is 1218116758279. The next prime is 1218116758343. The reversal of 1218116758320 is 238576118121.

1218116758320 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 1 + 1 + 67 + 583 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 112149690 + ... + 112160550.

Almost surely, 2^{1218116758320} is an apocalyptic number.

1218116758320 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 1218116758320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757595594104).

1218116758320 is an abundant number, since it is smaller than the sum of its proper divisors (4297074429888).

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

1218116758320 is a wasteful number, since it uses less digits than its factorization.

1218116758320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10939 (or 10906 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 1218116758320 in words is "one trillion, two hundred eighteen billion, one hundred sixteen million, seven hundred fifty-eight thousand, three hundred twenty".