1216718350848 has 2400 divisors, whose sum is σ = 5120694754560. Its totient is φ = 282593525760.

The previous prime is 1216718350819. The next prime is 1216718350867. The reversal of 1216718350848 is 8480538176121.

1216718350848 is a `hidden beast` number, since 1 + 2 + 16 + 7 + 1 + 83 + 508 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1216718350794 and 1216718350803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15401498073 + ... + 15401498151.

Almost surely, 2^{1216718350848} is an apocalyptic number.

1216718350848 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 1216718350848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560347377280).

1216718350848 is an abundant number, since it is smaller than the sum of its proper divisors (3903976403712).

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

1216718350848 is a wasteful number, since it uses less digits than its factorization.

1216718350848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 1216718350848 in words is "one trillion, two hundred sixteen billion, seven hundred eighteen million, three hundred fifty thousand, eight hundred forty-eight".