11233465600 has 324 divisors, whose sum is σ = 32733272124. Its totient is φ = 3805347840.

The previous prime is 11233465591. The next prime is 11233465601. The reversal of 11233465600 is 656433211.

It can be written as a sum of positive squares in 6 ways, for example, as 5121978624 + 6111486976 = 71568^2 + 78176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233465601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35436642 + ... + 35436958.

Almost surely, 2^11233465600 is an apocalyptic number.

11233465600 is a gapful number since it is divisible by the number (10) 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 11233465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16366636062).

11233465600 is an abundant number, since it is smaller than the sum of its proper divisors (21499806524).

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

11233465600 is a wasteful number, since it uses less digits than its factorization.

11233465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 11233465600 its reverse (656433211), we get a palindrome (11889898811).

The spelling of 11233465600 in words is "eleven billion, two hundred thirty-three million, four hundred sixty-five thousand, six hundred".