1146538224 has 240 divisors, whose sum is σ = 3726428160. Its totient is φ = 326177280.

The previous prime is 1146538213. The next prime is 1146538231. The reversal of 1146538224 is 4228356411.

It is a happy number.

1146538224 is a `hidden beast` number, since 114 + 6 + 538 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1334307 + ... + 1335165.

It is an arithmetic number, because the mean of its divisors is an integer number (15526784).

Almost surely, 2^1146538224 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 1146538224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863214080).

1146538224 is an abundant number, since it is smaller than the sum of its proper divisors (2579889936).

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

1146538224 is a wasteful number, since it uses less digits than its factorization.

1146538224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 931 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1146538224 is about 33860.5703436903. The cubic root of 1146538224 is about 1046.6372308832.

The spelling of 1146538224 in words is "one billion, one hundred forty-six million, five hundred thirty-eight thousand, two hundred twenty-four".