1463648564 has 24 divisors (see below), whose sum is σ = 2933645568. Its totient is φ = 625917600.

The previous prime is 1463648561. The next prime is 1463648581. The reversal of 1463648564 is 4658463641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463648561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43487 + ... + 69414.

It is an arithmetic number, because the mean of its divisors is an integer number (122235232).

Almost surely, 2^1463648564 is an apocalyptic number.

1463648564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1463648564 is an abundant number, since it is smaller than the sum of its proper divisors (1469997004).

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

1463648564 is a wasteful number, since it uses less digits than its factorization.

1463648564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113375 (or 113373 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 47.

The square root of 1463648564 is about 38257.6602002788. The cubic root of 1463648564 is about 1135.3914086674.

The spelling of 1463648564 in words is "one billion, four hundred sixty-three million, six hundred forty-eight thousand, five hundred sixty-four".