11497152 has 56 divisors (see below), whose sum is σ = 30668976. Its totient is φ = 3801088.

The previous prime is 11497141. The next prime is 11497159. The reversal of 11497152 is 25179411.

It is a super-2 number, since 2×11497152² = 264369008222208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11497159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44608 + ... + 44864.

Almost surely, 2^11497152 is an apocalyptic number.

11497152 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 11497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15334488).

11497152 is an abundant number, since it is smaller than the sum of its proper divisors (19171824).

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

11497152 is a wasteful number, since it uses less digits than its factorization.

11497152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 11497152 is about 3390.7450508701. The cubic root of 11497152 is about 225.6992370614.

The spelling of 11497152 in words is "eleven million, four hundred ninety-seven thousand, one hundred fifty-two".