1116963456 has 128 divisors (see below), whose sum is σ = 3448742400. Its totient is φ = 313678848.

The previous prime is 1116963433. The next prime is 1116963457. The reversal of 1116963456 is 6543696111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1116963457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155071 + ... + 162113.

It is an arithmetic number, because the mean of its divisors is an integer number (26943300).

Almost surely, 2^1116963456 is an apocalyptic number.

1116963456 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 1116963456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724371200).

1116963456 is an abundant number, since it is smaller than the sum of its proper divisors (2331778944).

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

1116963456 is an equidigital number, since it uses as much as digits as its factorization.

1116963456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126 (or 7114 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 1116963456 is about 33421.0032165403. The cubic root of 1116963456 is about 1037.5594449125.

The spelling of 1116963456 in words is "one billion, one hundred sixteen million, nine hundred sixty-three thousand, four hundred fifty-six".