1456116993 has 28 divisors (see below), whose sum is σ = 2190411348. Its totient is φ = 967528800.

The previous prime is 1456116989. The next prime is 1456117021. The reversal of 1456116993 is 3996116541.

It can be written as a sum of positive squares in 2 ways, for example, as 425514384 + 1030602609 = 20628^2 + 32103^2 .

It is not a de Polignac number, because 1456116993 - 2² = 1456116989 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1456116923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 227943 + ... + 234243.

Almost surely, 2^1456116993 is an apocalyptic number.

It is an amenable number.

1456116993 is a deficient number, since it is larger than the sum of its proper divisors (734294355).

1456116993 is an frugal number, since it uses more digits than its factorization.

1456116993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6621 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 1456116993 is about 38159.1010507323. The cubic root of 1456116993 is about 1133.4405781924.

The spelling of 1456116993 in words is "one billion, four hundred fifty-six million, one hundred sixteen thousand, nine hundred ninety-three".