1216616900856 has 192 divisors, whose sum is σ = 3551303923200. Its totient is φ = 346312205568.

The previous prime is 1216616900803. The next prime is 1216616900879. The reversal of 1216616900856 is 6580096166121.

It is a junction number, because it is equal to n+sod(n) for n = 1216616900799 and 1216616900808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499226070 + ... + 499228506.

It is an arithmetic number, because the mean of its divisors is an integer number (18496374600).

Almost surely, 2^{1216616900856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216616900856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775651961600).

1216616900856 is an abundant number, since it is smaller than the sum of its proper divisors (2334687022344).

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

1216616900856 is a wasteful number, since it uses less digits than its factorization.

1216616900856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3855 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 1216616900856 in words is "one trillion, two hundred sixteen billion, six hundred sixteen million, nine hundred thousand, eight hundred fifty-six".