1117984896 has 256 divisors, whose sum is σ = 3876000000. Its totient is φ = 310542336.

The previous prime is 1117984877. The next prime is 1117984913. The reversal of 1117984896 is 6984897111.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 894480 + ... + 895728.

It is an arithmetic number, because the mean of its divisors is an integer number (15140625).

Almost surely, 2^1117984896 is an apocalyptic number.

1117984896 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 1117984896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938000000).

1117984896 is an abundant number, since it is smaller than the sum of its proper divisors (2758015104).

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

1117984896 is a wasteful number, since it uses less digits than its factorization.

1117984896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1298 counting only the distinct ones).

The product of its digits is 870912, while the sum is 54.

The square root of 1117984896 is about 33436.2811329251. The cubic root of 1117984896 is about 1037.8756241099.

The spelling of 1117984896 in words is "one billion, one hundred seventeen million, nine hundred eighty-four thousand, eight hundred ninety-six".