1116627456 has 320 divisors, whose sum is σ = 3712262400. Its totient is φ = 290979840.

The previous prime is 1116627443. The next prime is 1116627481. The reversal of 1116627456 is 6547266111.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7494070 + ... + 7494218.

It is an arithmetic number, because the mean of its divisors is an integer number (11600820).

Almost surely, 2^1116627456 is an apocalyptic number.

1116627456 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 1116627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856131200).

1116627456 is an abundant number, since it is smaller than the sum of its proper divisors (2595634944).

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

1116627456 is a wasteful number, since it uses less digits than its factorization.

1116627456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 1116627456 is about 33415.9760593642. The cubic root of 1116627456 is about 1037.4553964664.

The spelling of 1116627456 in words is "one billion, one hundred sixteen million, six hundred twenty-seven thousand, four hundred fifty-six".