1145862144 has 288 divisors, whose sum is σ = 3863583360. Its totient is φ = 320421888.

The previous prime is 1145862121. The next prime is 1145862253. The reversal of 1145862144 is 4412685411.

1145862144 is a `hidden beast` number, since 1 + 1 + 458 + 62 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 1145862099 and 1145862108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10708939 + ... + 10709045.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 2^1145862144 is an apocalyptic number.

1145862144 is a gapful number since it is divisible by the number (14) 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 1145862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931791680).

1145862144 is an abundant number, since it is smaller than the sum of its proper divisors (2717721216).

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

1145862144 is a wasteful number, since it uses less digits than its factorization.

1145862144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1145862144 is about 33850.5855783914. The cubic root of 1145862144 is about 1046.4314666631.

The spelling of 1145862144 in words is "one billion, one hundred forty-five million, eight hundred sixty-two thousand, one hundred forty-four".