1463318864 has 80 divisors (see below), whose sum is σ = 3336453120. Its totient is φ = 608670720.

The previous prime is 1463318849. The next prime is 1463318867. The reversal of 1463318864 is 4688133641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463318867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023302 + ... + 1024730.

It is an arithmetic number, because the mean of its divisors is an integer number (41705664).

Almost surely, 2^1463318864 is an apocalyptic number.

1463318864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463318864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668226560).

1463318864 is an abundant number, since it is smaller than the sum of its proper divisors (1873134256).

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

1463318864 is a wasteful number, since it uses less digits than its factorization.

1463318864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1702 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 1463318864 is about 38253.3510166103. The cubic root of 1463318864 is about 1135.3061498906.

The spelling of 1463318864 in words is "one billion, four hundred sixty-three million, three hundred eighteen thousand, eight hundred sixty-four".