1144846080 has 216 divisors, whose sum is σ = 4527231072. Its totient is φ = 261660672.

The previous prime is 1144846067. The next prime is 1144846093. The reversal of 1144846080 is 806484411.

1144846080 is a `hidden beast` number, since 1 + 1 + 4 + 48 + 4 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1144846067) and next prime (1144846093).

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73542 + ... + 87738.

Almost surely, 2^1144846080 is an apocalyptic number.

1144846080 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 1144846080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2263615536).

1144846080 is an abundant number, since it is smaller than the sum of its proper divisors (3382384992).

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

1144846080 is a wasteful number, since it uses less digits than its factorization.

1144846080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14231 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1144846080 is about 33835.5741786659. The cubic root of 1144846080 is about 1046.1220764019.

The spelling of 1144846080 in words is "one billion, one hundred forty-four million, eight hundred forty-six thousand, eighty".