11247696288 has 144 divisors (see below), whose sum is σ = 33666927840. Its totient is φ = 3693102336.

The previous prime is 11247696277. The next prime is 11247696331. The reversal of 11247696288 is 88269674211.

It is a happy number.

11247696288 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 7 + 6 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 510198 + ... + 531786.

It is an arithmetic number, because the mean of its divisors is an integer number (233798110).

Almost surely, 2^11247696288 is an apocalyptic number.

11247696288 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 11247696288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833463920).

11247696288 is an abundant number, since it is smaller than the sum of its proper divisors (22419231552).

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

11247696288 is an equidigital number, since it uses as much as digits as its factorization.

11247696288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21681 (or 21661 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 11247696288 in words is "eleven billion, two hundred forty-seven million, six hundred ninety-six thousand, two hundred eighty-eight".