8278735665312 has 1200 divisors, whose sum is σ = 29485435601160. Its totient is φ = 2276779954176.

The previous prime is 8278735665247. The next prime is 8278735665323. The reversal of 8278735665312 is 2135665378728.

8278735665312 is a `hidden beast` number, since 8 + 2 + 7 + 8 + 7 + 3 + 566 + 53 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8277612343056 + 1123322256 = 2877084^2 + 33516^2 .

It is a super-2 number, since 2×8278735665312² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8278735665312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 36151684014 + ... + 36151684242.

Almost surely, 2^{8278735665312} 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 8278735665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742717800580).

8278735665312 is an abundant number, since it is smaller than the sum of its proper divisors (21206699935848).

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

8278735665312 is a wasteful number, since it uses less digits than its factorization.

8278735665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 435 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 8278735665312 in words is "eight trillion, two hundred seventy-eight billion, seven hundred thirty-five million, six hundred sixty-five thousand, three hundred twelve".