11249445888 has 264 divisors, whose sum is σ = 34361400528. Its totient is φ = 3674750976.

The previous prime is 11249445877. The next prime is 11249445901. The reversal of 11249445888 is 88854494211.

11249445888 is a `hidden beast` number, since 1 + 1 + 24 + 94 + 458 + 88 = 666.

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

It is an unprimeable number.

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, 13187670 + ... + 13188522.

Almost surely, 2^11249445888 is an apocalyptic number.

11249445888 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 11249445888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17180700264).

11249445888 is an abundant number, since it is smaller than the sum of its proper divisors (23111954640).

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

11249445888 is an frugal number, since it uses more digits than its factorization.

11249445888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 911 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 11249445888 in words is "eleven billion, two hundred forty-nine million, four hundred forty-five thousand, eight hundred eighty-eight".