871436145664 has 264 divisors, whose sum is σ = 2052967005000. Its totient is φ = 368620535808.

The previous prime is 871436145641. The next prime is 871436145667. The reversal of 871436145664 is 466541634178.

It can be written as a sum of positive squares in 4 ways, for example, as 281120523264 + 590315622400 = 530208^2 + 768320^2 .

Its product of digits (11612160) is a multiple of the sum of its prime divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871436145667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1712055042 + ... + 1712055550.

Almost surely, 2^871436145664 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 871436145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026483502500).

871436145664 is an abundant number, since it is smaller than the sum of its proper divisors (1181530859336).

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

871436145664 is a wasteful number, since it uses less digits than its factorization.

871436145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 896 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 871436145664 in words is "eight hundred seventy-one billion, four hundred thirty-six million, one hundred forty-five thousand, six hundred sixty-four".