1283773905216 has 672 divisors, whose sum is σ = 4170846965376. Its totient is φ = 377362022400.

The previous prime is 1283773905203. The next prime is 1283773905247. The reversal of 1283773905216 is 6125093773821.

1283773905216 is a `hidden beast` number, since 1 + 2 + 8 + 37 + 7 + 390 + 5 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4536303411 + ... + 4536303693.

It is an arithmetic number, because the mean of its divisors is an integer number (6206617508).

Almost surely, 2^{1283773905216} is an apocalyptic number.

1283773905216 is a gapful number since it is divisible by the number (16) 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 1283773905216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085423482688).

1283773905216 is an abundant number, since it is smaller than the sum of its proper divisors (2887073060160).

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

1283773905216 is a wasteful number, since it uses less digits than its factorization.

1283773905216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1283773905216 in words is "one trillion, two hundred eighty-three billion, seven hundred seventy-three million, nine hundred five thousand, two hundred sixteen".