1605648818772 has 288 divisors, whose sum is σ = 4472678770560. Its totient is φ = 483669688320.

The previous prime is 1605648818759. The next prime is 1605648818779. The reversal of 1605648818772 is 2778188465061.

It is a happy number.

1605648818772 is a `hidden beast` number, since 1 + 6 + 0 + 5 + 6 + 488 + 1 + 87 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1605648818779) 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 95 ways as a sum of consecutive naturals, for example, 375764028 + ... + 375768300.

It is an arithmetic number, because the mean of its divisors is an integer number (15530134620).

Almost surely, 2^{1605648818772} is an apocalyptic number.

1605648818772 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 1605648818772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2236339385280).

1605648818772 is an abundant number, since it is smaller than the sum of its proper divisors (2867029951788).

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

1605648818772 is a wasteful number, since it uses less digits than its factorization.

1605648818772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4583 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 1605648818772 in words is "one trillion, six hundred five billion, six hundred forty-eight million, eight hundred eighteen thousand, seven hundred seventy-two".