11483164 has 48 divisors (see below), whose sum is σ = 26159616. Its totient is φ = 4276800.

The previous prime is 11483123. The next prime is 11483179. The reversal of 11483164 is 46138411.

11483164 = T₃₃₇ + T₃₃₈ + ... + T₄₇₄.

11483164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6274 + ... + 7894.

It is an arithmetic number, because the mean of its divisors is an integer number (544992).

Almost surely, 2^11483164 is an apocalyptic number.

11483164 is a gapful number since it is divisible by the number (14) 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 11483164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079808).

11483164 is an abundant number, since it is smaller than the sum of its proper divisors (14676452).

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

11483164 is a wasteful number, since it uses less digits than its factorization.

11483164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1664 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 11483164 is about 3388.6817495894. The cubic root of 11483164 is about 225.6076676552.

The spelling of 11483164 in words is "eleven million, four hundred eighty-three thousand, one hundred sixty-four".