1468448641 has 8 divisors (see below), whose sum is σ = 1653619968. Its totient is φ = 1291890000.

The previous prime is 1468448629. The next prime is 1468448671.

1468448641 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1468448641 - 2⁵ = 1468448609 is a prime.

It is a super-2 number, since 2×1468448641² = 4312682822509493762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1468448591 and 1468448600.

It is not an unprimeable number, because it can be changed into a prime (1468448671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2152810 + ... + 2153491.

It is an arithmetic number, because the mean of its divisors is an integer number (206702496).

Almost surely, 2^1468448641 is an apocalyptic number.

1468448641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1468448641 is a deficient number, since it is larger than the sum of its proper divisors (185171327).

1468448641 is a wasteful number, since it uses less digits than its factorization.

1468448641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306343.

The product of its digits is 589824, while the sum is 46.

The square root of 1468448641 is about 38320.3423914766. The cubic root of 1468448641 is about 1136.6312370840.

The spelling of 1468448641 in words is "one billion, four hundred sixty-eight million, four hundred forty-eight thousand, six hundred forty-one".