1145011560 has 256 divisors, whose sum is σ = 4337141760. Its totient is φ = 234900480.

The previous prime is 1145011559. The next prime is 1145011561. The reversal of 1145011560 is 651105411.

It is an interprime number because it is at equal distance from previous prime (1145011559) and next prime (1145011561).

It is a super-2 number, since 2×1145011560² = 2622102945067267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1145011560.

It is not an unprimeable number, because it can be changed into a prime (1145011561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 766174 + ... + 767666.

It is an arithmetic number, because the mean of its divisors is an integer number (16941960).

Almost surely, 2^1145011560 is an apocalyptic number.

1145011560 is a gapful number since it is divisible by the number (10) 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 1145011560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168570880).

1145011560 is an abundant number, since it is smaller than the sum of its proper divisors (3192130200).

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

1145011560 is a wasteful number, since it uses less digits than its factorization.

1145011560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 1145011560 is about 33838.0194455881. The cubic root of 1145011560 is about 1046.1724773377.

Adding to 1145011560 its reverse (651105411), we get a palindrome (1796116971).

The spelling of 1145011560 in words is "one billion, one hundred forty-five million, eleven thousand, five hundred sixty".