11288598048 has 864 divisors, whose sum is σ = 43480172736. Its totient is φ = 2853107712.

The previous prime is 11288597993. The next prime is 11288598071. The reversal of 11288598048 is 84089588211.

11288598048 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 8 + 598 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 11288597985 and 11288598003.

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 143 ways as a sum of consecutive naturals, for example, 212992390 + ... + 212992442.

It is an arithmetic number, because the mean of its divisors is an integer number (50324274).

Almost surely, 2^11288598048 is an apocalyptic number.

11288598048 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 11288598048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740086368).

11288598048 is an abundant number, since it is smaller than the sum of its proper divisors (32191574688).

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

11288598048 is a wasteful number, since it uses less digits than its factorization.

11288598048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 11288598048 in words is "eleven billion, two hundred eighty-eight million, five hundred ninety-eight thousand, forty-eight".