865047056380416 has 1440 divisors, whose sum is σ = 3259097387385840. Its totient is φ = 218666423549952.

The previous prime is 865047056380399. The next prime is 865047056380511. The reversal of 865047056380416 is 614083650740568.

865047056380416 is a `hidden beast` number, since 8 + 6 + 50 + 4 + 7 + 0 + 563 + 8 + 0 + 4 + 16 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 258651309369600 + 606395747010816 = 16082640^2 + 24625104^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11661893920 + ... + 11661968096.

Almost surely, 2^{865047056380416} 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 865047056380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629548693692920).

865047056380416 is an abundant number, since it is smaller than the sum of its proper divisors (2394050331005424).

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

865047056380416 is a wasteful number, since it uses less digits than its factorization.

865047056380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74394 (or 74368 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 865047056380416 in words is "eight hundred sixty-five trillion, forty-seven billion, fifty-six million, three hundred eighty thousand, four hundred sixteen".