11251634688 has 480 divisors, whose sum is σ = 39986369280. Its totient is φ = 2983034880.

The previous prime is 11251634683. The next prime is 11251634717. The reversal of 11251634688 is 88643615211.

11251634688 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 1 + 634 + 6 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11251634683) 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 47 ways as a sum of consecutive naturals, for example, 158473693 + ... + 158473763.

It is an arithmetic number, because the mean of its divisors is an integer number (83304936).

Almost surely, 2^11251634688 is an apocalyptic number.

11251634688 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 11251634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19993184640).

11251634688 is an abundant number, since it is smaller than the sum of its proper divisors (28734734592).

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

11251634688 is an frugal number, since it uses more digits than its factorization.

11251634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 100 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 11251634688 in words is "eleven billion, two hundred fifty-one million, six hundred thirty-four thousand, six hundred eighty-eight".