1114194218256 has 960 divisors, whose sum is σ = 4076955058176. Its totient is φ = 287251660800.

The previous prime is 1114194218251. The next prime is 1114194218317. The reversal of 1114194218256 is 6528124914111.

1114194218256 is a `hidden beast` number, since 1 + 1 + 1 + 419 + 4 + 2 + 182 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (1114194218251) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1878910696 + ... + 1878911288.

Almost surely, 2^{1114194218256} is an apocalyptic number.

1114194218256 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 1114194218256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038477529088).

1114194218256 is an abundant number, since it is smaller than the sum of its proper divisors (2962760839920).

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

1114194218256 is a wasteful number, since it uses less digits than its factorization.

1114194218256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 784 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 1114194218256 in words is "one trillion, one hundred fourteen billion, one hundred ninety-four million, two hundred eighteen thousand, two hundred fifty-six".