1145764224 has 128 divisors (see below), whose sum is σ = 3689136000. Its totient is φ = 347189760.

The previous prime is 1145764211. The next prime is 1145764259. The reversal of 1145764224 is 4224675411.

1145764224 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 7 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22947 + ... + 53085.

It is an arithmetic number, because the mean of its divisors is an integer number (28821375).

Almost surely, 2^1145764224 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 1145764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844568000).

1145764224 is an abundant number, since it is smaller than the sum of its proper divisors (2543371776).

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

1145764224 is a wasteful number, since it uses less digits than its factorization.

1145764224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30173 (or 30155 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1145764224 is about 33849.1391914181. The cubic root of 1145764224 is about 1046.4016581070.

The spelling of 1145764224 in words is "one billion, one hundred forty-five million, seven hundred sixty-four thousand, two hundred twenty-four".