11154948 has 72 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 3124800.

The previous prime is 11154943. The next prime is 11154959. The reversal of 11154948 is 84945111.

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

Its product of digits (5760) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (11154943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35713 + ... + 36023.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 2^11154948 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 11154948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

11154948 is an abundant number, since it is smaller than the sum of its proper divisors (19718076).

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

11154948 is a wasteful number, since it uses less digits than its factorization.

11154948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 11154948 is about 3339.9023937834. The cubic root of 11154948 is about 223.4373901869.

The spelling of 11154948 in words is "eleven million, one hundred fifty-four thousand, nine hundred forty-eight".