1463947360128 has 384 divisors, whose sum is σ = 4652140521600. Its totient is φ = 438197760000.

The previous prime is 1463947360123. The next prime is 1463947360157. The reversal of 1463947360128 is 8210637493641.

1463947360128 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 9 + 4 + 7 + 3 + 601 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1463947360123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380145403 + ... + 380149253.

It is an arithmetic number, because the mean of its divisors is an integer number (12114949275).

Almost surely, 2^{1463947360128} is an apocalyptic number.

1463947360128 is a gapful number since it is divisible by the number (18) 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 1463947360128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326070260800).

1463947360128 is an abundant number, since it is smaller than the sum of its proper divisors (3188193161472).

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

1463947360128 is a wasteful number, since it uses less digits than its factorization.

1463947360128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4227 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 1463947360128 in words is "one trillion, four hundred sixty-three billion, nine hundred forty-seven million, three hundred sixty thousand, one hundred twenty-eight".