11238523488 has 144 divisors (see below), whose sum is σ = 33410089440. Its totient is φ = 3576748032.

The previous prime is 11238523469. The next prime is 11238523501. The reversal of 11238523488 is 88432583211.

11238523488 is a `hidden beast` number, since 1 + 12 + 38 + 523 + 4 + 88 = 666.

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

It is a super-2 number, since 2×11238523488² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 4695220 + ... + 4697612.

It is an arithmetic number, because the mean of its divisors is an integer number (232014510).

Almost surely, 2^11238523488 is an apocalyptic number.

11238523488 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 11238523488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705044720).

11238523488 is an abundant number, since it is smaller than the sum of its proper divisors (22171565952).

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

11238523488 is a wasteful number, since it uses less digits than its factorization.

11238523488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3141 (or 3130 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The spelling of 11238523488 in words is "eleven billion, two hundred thirty-eight million, five hundred twenty-three thousand, four hundred eighty-eight".