283145094144 has 1056 divisors, whose sum is σ = 1004746204800. Its totient is φ = 75804180480.

The previous prime is 283145094143. The next prime is 283145094161. The reversal of 283145094144 is 441490541382.

283145094144 is a `hidden beast` number, since 28 + 31 + 450 + 9 + 4 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×283145094144² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 283145094144.

It is not an unprimeable number, because it can be changed into a prime (283145094143) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2066752444 + ... + 2066752580.

Almost surely, 2^283145094144 is an apocalyptic number.

283145094144 is a gapful number since it is divisible by the number (24) 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 283145094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502373102400).

283145094144 is an abundant number, since it is smaller than the sum of its proper divisors (721601110656).

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

283145094144 is a wasteful number, since it uses less digits than its factorization.

283145094144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 283145094144 in words is "two hundred eighty-three billion, one hundred forty-five million, ninety-four thousand, one hundred forty-four".