865153545351568 has 80 divisors (see below), whose sum is σ = 1904371668216000. Its totient is φ = 377142947632640.

The previous prime is 865153545351533. The next prime is 865153545351617.

It is a happy number.

865153545351568 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (70) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 865153545351497 and 865153545351506.

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, 568048246 + ... + 569569237.

It is an arithmetic number, because the mean of its divisors is an integer number (23804645852700).

Almost surely, 2^{865153545351568} is an apocalyptic number.

865153545351568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

865153545351568 is an abundant number, since it is smaller than the sum of its proper divisors (1039218122864432).

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

865153545351568 is a wasteful number, since it uses less digits than its factorization.

865153545351568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137617680 (or 1137617674 counting only the distinct ones).

The product of its digits is 1296000000, while the sum is 70.

The spelling of 865153545351568 in words is "eight hundred sixty-five trillion, one hundred fifty-three billion, five hundred forty-five million, three hundred fifty-one thousand, five hundred sixty-eight".