1150145568 has 480 divisors, whose sum is σ = 4149351360. Its totient is φ = 307722240.

The previous prime is 1150145537. The next prime is 1150145609. The reversal of 1150145568 is 8655410511.

1150145568 is a `hidden beast` number, since 1 + 1 + 50 + 1 + 45 + 568 = 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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10748971 + ... + 10749077.

It is an arithmetic number, because the mean of its divisors is an integer number (8644482).

Almost surely, 2^1150145568 is an apocalyptic number.

1150145568 is a gapful number since it is divisible by the number (18) 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 1150145568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074675680).

1150145568 is an abundant number, since it is smaller than the sum of its proper divisors (2999205792).

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

1150145568 is a wasteful number, since it uses less digits than its factorization.

1150145568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 1150145568 is about 33913.7961307784. The cubic root of 1150145568 is about 1047.7337571248.

The spelling of 1150145568 in words is "one billion, one hundred fifty million, one hundred forty-five thousand, five hundred sixty-eight".