1463105664 has 96 divisors (see below), whose sum is σ = 4313066940. Its totient is φ = 475791360.

The previous prime is 1463105603. The next prime is 1463105671. The reversal of 1463105664 is 4665013641.

It is a happy number.

1463105664 is a `hidden beast` number, since 14 + 631 + 0 + 5 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1447041600 + 16064064 = 38040^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31744 + ... + 62720.

Almost surely, 2^1463105664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156533470).

1463105664 is an abundant number, since it is smaller than the sum of its proper divisors (2849961276).

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

1463105664 is a wasteful number, since it uses less digits than its factorization.

1463105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31038 (or 31023 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1463105664 is about 38250.5642311326. The cubic root of 1463105664 is about 1135.2510106148.

The spelling of 1463105664 in words is "one billion, four hundred sixty-three million, one hundred five thousand, six hundred sixty-four".