1216984116096 has 576 divisors, whose sum is σ = 4264585303680. Its totient is φ = 326247118848.

The previous prime is 1216984116053. The next prime is 1216984116113. The reversal of 1216984116096 is 6906114896121.

1216984116096 is a `hidden beast` number, since 1 + 2 + 16 + 9 + 8 + 4 + 11 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 311486175 + ... + 311490081.

It is an arithmetic number, because the mean of its divisors is an integer number (7403793930).

Almost surely, 2^{1216984116096} is an apocalyptic number.

1216984116096 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 1216984116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132292651840).

1216984116096 is an abundant number, since it is smaller than the sum of its proper divisors (3047601187584).

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

1216984116096 is a wasteful number, since it uses less digits than its factorization.

1216984116096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1216984116096 in words is "one trillion, two hundred sixteen billion, nine hundred eighty-four million, one hundred sixteen thousand, ninety-six".