1466116736 has 32 divisors (see below), whose sum is σ = 3338035680. Its totient is φ = 628335360.

The previous prime is 1466116679. The next prime is 1466116739. The reversal of 1466116736 is 6376116641.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1466116693 and 1466116702.

It is not an unprimeable number, because it can be changed into a prime (1466116739) 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 3 ways as a sum of consecutive naturals, for example, 817250 + ... + 819041.

It is an arithmetic number, because the mean of its divisors is an integer number (104313615).

Almost surely, 2^1466116736 is an apocalyptic number.

1466116736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1466116736 is an abundant number, since it is smaller than the sum of its proper divisors (1871918944).

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

1466116736 is an equidigital number, since it uses as much as digits as its factorization.

1466116736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636312 (or 1636300 counting only the distinct ones).

The product of its digits is 108864, while the sum is 41.

The square root of 1466116736 is about 38289.9038390017. The cubic root of 1466116736 is about 1136.0292593138.

The spelling of 1466116736 in words is "one billion, four hundred sixty-six million, one hundred sixteen thousand, seven hundred thirty-six".