865348151316480 has 3328 divisors, whose sum is σ = 3494152081244160. Its totient is φ = 204241305600000.

The previous prime is 865348151316427. The next prime is 865348151316499. The reversal of 865348151316480 is 84613151843568.

It is a happy number.

865348151316480 is a `hidden beast` number, since 8 + 6 + 5 + 3 + 4 + 8 + 15 + 131 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3447602196355 + ... + 3447602196605.

Almost surely, 2^{865348151316480} is an apocalyptic number.

865348151316480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 865348151316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747076040622080).

865348151316480 is an abundant number, since it is smaller than the sum of its proper divisors (2628803929927680).

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

865348151316480 is a wasteful number, since it uses less digits than its factorization.

865348151316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 865348151316480 in words is "eight hundred sixty-five trillion, three hundred forty-eight billion, one hundred fifty-one million, three hundred sixteen thousand, four hundred eighty".