1145285568 has 280 divisors, whose sum is σ = 3989519072. Its totient is φ = 318007296.

The previous prime is 1145285567. The next prime is 1145285573. The reversal of 1145285568 is 8655825411.

1145285568 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 85 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145285567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1342230 + ... + 1343082.

Almost surely, 2^1145285568 is an apocalyptic number.

1145285568 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 1145285568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994759536).

1145285568 is an abundant number, since it is smaller than the sum of its proper divisors (2844233504).

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

1145285568 is an equidigital number, since it uses as much as digits as its factorization.

1145285568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 902 counting only the distinct ones).

The product of its digits is 384000, while the sum is 45.

The square root of 1145285568 is about 33842.0680219162. The cubic root of 1145285568 is about 1046.2559224238.

It can be divided in two parts, 11452 and 85568, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 1145285568 in words is "one billion, one hundred forty-five million, two hundred eighty-five thousand, five hundred sixty-eight".