1117403085216 has 384 divisors, whose sum is σ = 3492768190464. Its totient is φ = 308968325120.

The previous prime is 1117403085193. The next prime is 1117403085257. The reversal of 1117403085216 is 6125803047111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90274420 + ... + 90286796.

It is an arithmetic number, because the mean of its divisors is an integer number (9095750496).

Almost surely, 2^{1117403085216} is an apocalyptic number.

1117403085216 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 1117403085216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746384095232).

1117403085216 is an abundant number, since it is smaller than the sum of its proper divisors (2375365105248).

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

1117403085216 is a wasteful number, since it uses less digits than its factorization.

1117403085216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12572 (or 12564 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 1117403085216 in words is "one trillion, one hundred seventeen billion, four hundred three million, eighty-five thousand, two hundred sixteen".