1144519560 has 384 divisors, whose sum is σ = 4221434880. Its totient is φ = 267362304.

The previous prime is 1144519547. The next prime is 1144519561. The reversal of 1144519560 is 659154411.

1144519560 is a `hidden beast` number, since 1 + 1 + 44 + 51 + 9 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1144519561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6615634 + ... + 6615806.

It is an arithmetic number, because the mean of its divisors is an integer number (10993320).

Almost surely, 2^1144519560 is an apocalyptic number.

1144519560 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 1144519560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2110717440).

1144519560 is an abundant number, since it is smaller than the sum of its proper divisors (3076915320).

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

1144519560 is a wasteful number, since it uses less digits than its factorization.

1144519560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1144519560 is about 33830.7487354330. The cubic root of 1144519560 is about 1046.0226125918.

The spelling of 1144519560 in words is "one billion, one hundred forty-four million, five hundred nineteen thousand, five hundred sixty".