12285483840 has 840 divisors, whose sum is σ = 53921573640. Its totient is φ = 2638282752.

The previous prime is 12285483803. The next prime is 12285483851. The reversal of 12285483840 is 4838458221.

12285483840 is a `hidden beast` number, since 1 + 2 + 28 + 548 + 3 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 976437504 + 11309046336 = 31248^2 + 106344^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×12285483840² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21591076 + ... + 21591644.

Almost surely, 2^12285483840 is an apocalyptic number.

12285483840 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 12285483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26960786820).

12285483840 is an abundant number, since it is smaller than the sum of its proper divisors (41636089800).

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

12285483840 is a wasteful number, since it uses less digits than its factorization.

12285483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 12285483840 in words is "twelve billion, two hundred eighty-five million, four hundred eighty-three thousand, eight hundred forty".