11253828456 has 96 divisors (see below), whose sum is σ = 32994266760. Its totient is φ = 3444719616.

The previous prime is 11253828449. The next prime is 11253828533. The reversal of 11253828456 is 65482835211.

11253828456 is a `hidden beast` number, since 112 + 5 + 3 + 82 + 8 + 456 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5304791556 + 5949036900 = 72834^2 + 77130^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149500 + ... + 211796.

Almost surely, 2^11253828456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11253828456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16497133380).

11253828456 is an abundant number, since it is smaller than the sum of its proper divisors (21740438304).

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

11253828456 is a wasteful number, since it uses less digits than its factorization.

11253828456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62515 (or 62508 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 11253828456 in words is "eleven billion, two hundred fifty-three million, eight hundred twenty-eight thousand, four hundred fifty-six".