1283508223452 has 288 divisors, whose sum is σ = 4109866435584. Its totient is φ = 328754764800.

The previous prime is 1283508223447. The next prime is 1283508223493. The reversal of 1283508223452 is 2543228053821.

1283508223452 is a `hidden beast` number, since 1 + 2 + 83 + 508 + 2 + 23 + 45 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1283508223398 and 1283508223407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15542752 + ... + 15625112.

It is an arithmetic number, because the mean of its divisors is an integer number (14270369568).

Almost surely, 2^{1283508223452} is an apocalyptic number.

1283508223452 is a gapful number since it is divisible by the number (12) 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 1283508223452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054933217792).

1283508223452 is an abundant number, since it is smaller than the sum of its proper divisors (2826358212132).

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

1283508223452 is a wasteful number, since it uses less digits than its factorization.

1283508223452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82529 (or 82524 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 1283508223452 in words is "one trillion, two hundred eighty-three billion, five hundred eight million, two hundred twenty-three thousand, four hundred fifty-two".