1018425283200 has 576 divisors, whose sum is σ = 4143743767800. Its totient is φ = 235941396480.

The previous prime is 1018425283133. The next prime is 1018425283201. The reversal of 1018425283200 is 23825248101.

It is a happy number.

1018425283200 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 425 + 28 + 3 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 313752338496 + 704672944704 = 560136^2 + 839448^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1018425283200² (a number of 25 digits) contains 22 as substring.

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 (1018425283201) 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 71 ways as a sum of consecutive naturals, for example, 6284796 + ... + 6444804.

Almost surely, 2^{1018425283200} is an apocalyptic number.

1018425283200 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 1018425283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071871883900).

1018425283200 is an abundant number, since it is smaller than the sum of its proper divisors (3125318484600).

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

1018425283200 is a wasteful number, since it uses less digits than its factorization.

1018425283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160069 (or 160049 counting only the distinct ones).

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

The spelling of 1018425283200 in words is "one trillion, eighteen billion, four hundred twenty-five million, two hundred eighty-three thousand, two hundred".