1283916016 has 30 divisors (see below), whose sum is σ = 2546842200. Its totient is φ = 627014304.

The previous prime is 1283916001. The next prime is 1283916019. The reversal of 1283916016 is 6106193821.

It is a super-3 number, since 3×1283916016³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283916019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7885 + ... + 51283.

It is an arithmetic number, because the mean of its divisors is an integer number (84894740).

Almost surely, 2^1283916016 is an apocalyptic number.

1283916016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1283916016 is a deficient number, since it is larger than the sum of its proper divisors (1262926184).

1283916016 is an equidigital number, since it uses as much as digits as its factorization.

1283916016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43493 (or 43444 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 1283916016 is about 35831.7738327312. The cubic root of 1283916016 is about 1086.8731800836.

The spelling of 1283916016 in words is "one billion, two hundred eighty-three million, nine hundred sixteen thousand, sixteen".