11258811648 has 288 divisors, whose sum is σ = 38868049920. Its totient is φ = 3147724800.

The previous prime is 11258811643. The next prime is 11258811661. The reversal of 11258811648 is 84611885211.

11258811648 is a `hidden beast` number, since 1 + 1 + 2 + 588 + 1 + 1 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11258811643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2271573 + ... + 2276523.

Almost surely, 2^11258811648 is an apocalyptic number.

11258811648 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 11258811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19434024960).

11258811648 is an abundant number, since it is smaller than the sum of its proper divisors (27609238272).

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

11258811648 is an equidigital number, since it uses as much as digits as its factorization.

11258811648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5010 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The spelling of 11258811648 in words is "eleven billion, two hundred fifty-eight million, eight hundred eleven thousand, six hundred forty-eight".