1471896864 has 144 divisors (see below), whose sum is σ = 4548660480. Its totient is φ = 449763840.

The previous prime is 1471896859. The next prime is 1471896893. The reversal of 1471896864 is 4686981741.

1471896864 is a `hidden beast` number, since 1 + 471 + 8 + 96 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1471896864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165294 + ... + 173970.

It is an arithmetic number, because the mean of its divisors is an integer number (31587920).

Almost surely, 2^1471896864 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 1471896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274330240).

1471896864 is an abundant number, since it is smaller than the sum of its proper divisors (3076763616).

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

1471896864 is a wasteful number, since it uses less digits than its factorization.

1471896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8743 (or 8732 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 1471896864 is about 38365.3080790445. The cubic root of 1471896864 is about 1137.5202238324.

The spelling of 1471896864 in words is "one billion, four hundred seventy-one million, eight hundred ninety-six thousand, eight hundred sixty-four".