11353488 has 80 divisors (see below), whose sum is σ = 31545600. Its totient is φ = 3507840.

The previous prime is 11353481. The next prime is 11353499. The reversal of 11353488 is 88435311.

11353488 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11353488² = 257803379532288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11353481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53703 + ... + 53913.

It is an arithmetic number, because the mean of its divisors is an integer number (394320).

Almost surely, 2^11353488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11353488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772800).

11353488 is an abundant number, since it is smaller than the sum of its proper divisors (20192112).

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

11353488 is a wasteful number, since it uses less digits than its factorization.

11353488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 11353488 is about 3369.4937305180. The cubic root of 11353488 is about 224.7552103198.

Adding to 11353488 its reverse (88435311), we get a palindrome (99788799).

The spelling of 11353488 in words is "eleven million, three hundred fifty-three thousand, four hundred eighty-eight".