1644411456 has 70 divisors (see below), whose sum is σ = 4874566070. Its totient is φ = 548135424.

The previous prime is 1644411451. The next prime is 1644411463. The reversal of 1644411456 is 6541144461.

1644411456 is a `hidden beast` number, since 1 + 644 + 4 + 1 + 1 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1374926400 + 269485056 = 37080^2 + 16416^2 .

It is a super-3 number, since 3×1644411456³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1644411456.

It is not an unprimeable number, because it can be changed into a prime (1644411451) 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 9 ways as a sum of consecutive naturals, for example, 153421 + ... + 163788.

Almost surely, 2^1644411456 is an apocalyptic number.

1644411456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1644411456 is an abundant number, since it is smaller than the sum of its proper divisors (3230154614).

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

1644411456 is an equidigital number, since it uses as much as digits as its factorization.

1644411456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317233 (or 317214 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1644411456 is about 40551.3434549338. The cubic root of 1644411456 is about 1180.3301422306.

The spelling of 1644411456 in words is "one billion, six hundred forty-four million, four hundred eleven thousand, four hundred fifty-six".