11115675648 has 540 divisors, whose sum is σ = 40790982960. Its totient is φ = 2854748160.

The previous prime is 11115675587. The next prime is 11115675653. The reversal of 11115675648 is 84657651111.

11115675648 is a `hidden beast` number, since 1 + 11 + 15 + 67 + 564 + 8 = 666.

It is a super-2 number, since 2×11115675648² (a number of 21 digits) contains 22 as substring.

Its product of digits (201600) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 124895188 + ... + 124895276.

Almost surely, 2^11115675648 is an apocalyptic number.

11115675648 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 11115675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20395491480).

11115675648 is an abundant number, since it is smaller than the sum of its proper divisors (29675307312).

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

11115675648 is an equidigital number, since it uses as much as digits as its factorization.

11115675648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 112 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The spelling of 11115675648 in words is "eleven billion, one hundred fifteen million, six hundred seventy-five thousand, six hundred forty-eight".