159585943282464 has 96 divisors (see below), whose sum is σ = 424157245243200. Its totient is φ = 52533415084032.

The previous prime is 159585943282457. The next prime is 159585943282471. The reversal of 159585943282464 is 464282349585951.

It is an interprime number because it is at equal distance from previous prime (159585943282457) and next prime (159585943282471).

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

It is a super-2 number, since 2×159585943282464² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28896814 + ... + 33973485.

It is an arithmetic number, because the mean of its divisors is an integer number (4418304637950).

Almost surely, 2^{159585943282464} is an apocalyptic number.

It is an amenable number.

159585943282464 is an abundant number, since it is smaller than the sum of its proper divisors (264571301960736).

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

159585943282464 is a wasteful number, since it uses less digits than its factorization.

159585943282464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62870642 (or 62870634 counting only the distinct ones).

The product of its digits is 2985984000, while the sum is 75.

The spelling of 159585943282464 in words is "one hundred fifty-nine trillion, five hundred eighty-five billion, nine hundred forty-three million, two hundred eighty-two thousand, four hundred sixty-four".