1114933248 has 480 divisors, whose sum is σ = 3995671680. Its totient is φ = 305233920.

The previous prime is 1114933223. The next prime is 1114933279. The reversal of 1114933248 is 8423394111.

It is a super-2 number, since 2×1114933248² = 2486152294991659008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23721961 + ... + 23722007.

It is an arithmetic number, because the mean of its divisors is an integer number (8324316).

Almost surely, 2^1114933248 is an apocalyptic number.

1114933248 is a gapful number since it is divisible by the number (18) 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 1114933248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997835840).

1114933248 is an abundant number, since it is smaller than the sum of its proper divisors (2880738432).

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

1114933248 is a wasteful number, since it uses less digits than its factorization.

1114933248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1114933248 is about 33390.6161668215. The cubic root of 1114933248 is about 1036.9304362645.

The spelling of 1114933248 in words is "one billion, one hundred fourteen million, nine hundred thirty-three thousand, two hundred forty-eight".