11262227261328 has 120 divisors (see below), whose sum is σ = 32193102509568. Its totient is φ = 3673756670976.

The previous prime is 11262227261309. The next prime is 11262227261347. The reversal of 11262227261328 is 82316272226211.

11262227261328 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 2 + 2 + 2 + 7 + 2 + 613 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (11262227261309) and next prime (11262227261347).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58263976 + ... + 58456952.

Almost surely, 2^{11262227261328} is an apocalyptic number.

11262227261328 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 11262227261328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096551254784).

11262227261328 is an abundant number, since it is smaller than the sum of its proper divisors (20930875248240).

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

11262227261328 is a wasteful number, since it uses less digits than its factorization.

11262227261328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201661 (or 201652 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

Adding to 11262227261328 its reverse (82316272226211), we get a palindrome (93578499487539).

The spelling of 11262227261328 in words is "eleven trillion, two hundred sixty-two billion, two hundred twenty-seven million, two hundred sixty-one thousand, three hundred twenty-eight".