1463506705000 has 80 divisors (see below), whose sum is σ = 3435271361280. Its totient is φ = 584331384000.

The previous prime is 1463506704997. The next prime is 1463506705007. The reversal of 1463506705000 is 5076053641.

It is not an unprimeable number, because it can be changed into a prime (1463506705007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2467449 + ... + 3002551.

It is an arithmetic number, because the mean of its divisors is an integer number (42940892016).

Almost surely, 2^{1463506705000} is an apocalyptic number.

1463506705000 is a gapful number since it is divisible by the number (10) 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 1463506705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717635680640).

1463506705000 is an abundant number, since it is smaller than the sum of its proper divisors (1971764656280).

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

1463506705000 is an equidigital number, since it uses as much as digits as its factorization.

1463506705000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535676 (or 535657 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The spelling of 1463506705000 in words is "one trillion, four hundred sixty-three billion, five hundred six million, seven hundred five thousand".