1146628224 has 480 divisors, whose sum is σ = 4143579660. Its totient is φ = 313528320.

The previous prime is 1146628211. The next prime is 1146628253. The reversal of 1146628224 is 4228266411.

1146628224 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 628 + 2 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1140277824 + 6350400 = 33768^2 + 2520^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18797154 + ... + 18797214.

Almost surely, 2^1146628224 is an apocalyptic number.

1146628224 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 1146628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071789830).

1146628224 is an abundant number, since it is smaller than the sum of its proper divisors (2996951436).

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

1146628224 is an equidigital number, since it uses as much as digits as its factorization.

1146628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 1146628224 is about 33861.8992969975. The cubic root of 1146628224 is about 1046.6646161851.

The spelling of 1146628224 in words is "one billion, one hundred forty-six million, six hundred twenty-eight thousand, two hundred twenty-four".