11250749952 has 240 divisors, whose sum is σ = 35142235128. Its totient is φ = 3444572160.

The previous prime is 11250749891. The next prime is 11250749959. The reversal of 11250749952 is 25994705211.

11250749952 is a `hidden beast` number, since 1 + 1 + 2 + 507 + 4 + 99 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11181793536 + 68956416 = 105744^2 + 8304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11250749898 and 11250749907.

It is not an unprimeable number, because it can be changed into a prime (11250749959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17551552 + ... + 17552192.

Almost surely, 2^11250749952 is an apocalyptic number.

11250749952 is a gapful number since it is divisible by the number (12) 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 11250749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571117564).

11250749952 is an abundant number, since it is smaller than the sum of its proper divisors (23891485176).

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

11250749952 is a wasteful number, since it uses less digits than its factorization.

11250749952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 11250749952 in words is "eleven billion, two hundred fifty million, seven hundred forty-nine thousand, nine hundred fifty-two".