1011456016 has 40 divisors (see below), whose sum is σ = 1985419800. Its totient is φ = 499123200.

The previous prime is 1011456007. The next prime is 1011456023. The reversal of 1011456016 is 6106541101.

It can be written as a sum of positive squares in 4 ways, for example, as 585446416 + 426009600 = 24196^2 + 20640^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 627820 + ... + 629428.

It is an arithmetic number, because the mean of its divisors is an integer number (49635495).

Almost surely, 2^1011456016 is an apocalyptic number.

1011456016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1011456016 is a deficient number, since it is larger than the sum of its proper divisors (973963784).

1011456016 is a wasteful number, since it uses less digits than its factorization.

1011456016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2101 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 1011456016 is about 31803.3962966222. The cubic root of 1011456016 is about 1003.8041818493.

Adding to 1011456016 its reverse (6106541101), we get a palindrome (7117997117).

The spelling of 1011456016 in words is "one billion, eleven million, four hundred fifty-six thousand, sixteen".