11231605152 has 360 divisors, whose sum is σ = 36358142436. Its totient is φ = 3387101184.

The previous prime is 11231605123. The next prime is 11231605163. The reversal of 11231605152 is 25150613211.

11231605152 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 1 + 605 + 1 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9722748816 + 1508856336 = 98604^2 + 38844^2 .

It is a super-2 number, since 2×11231605152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 135320503 + ... + 135320585.

Almost surely, 2^11231605152 is an apocalyptic number.

11231605152 is a gapful number since it is divisible by the number (12) 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 11231605152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179071218).

11231605152 is an abundant number, since it is smaller than the sum of its proper divisors (25126537284).

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

11231605152 is an equidigital number, since it uses as much as digits as its factorization.

11231605152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11231605152 in words is "eleven billion, two hundred thirty-one million, six hundred five thousand, one hundred fifty-two".