286216358970672 has 480 divisors, whose sum is σ = 917472827980800. Its totient is φ = 82615802480640.

The previous prime is 286216358970623. The next prime is 286216358970679. The reversal of 286216358970672 is 276079853612682.

286216358970672 is a `hidden beast` number, since 28 + 6 + 2 + 16 + 3 + 589 + 7 + 0 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×286216358970672² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 286216358970672.

It is not an unprimeable number, because it can be changed into a prime (286216358970679) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6159008397 + ... + 6159054867.

It is an arithmetic number, because the mean of its divisors is an integer number (1911401724960).

Almost surely, 2^{286216358970672} 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 286216358970672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458736413990400).

286216358970672 is an abundant number, since it is smaller than the sum of its proper divisors (631256469010128).

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

286216358970672 is a wasteful number, since it uses less digits than its factorization.

286216358970672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49273 (or 49264 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 286216358970672 in words is "two hundred eighty-six trillion, two hundred sixteen billion, three hundred fifty-eight million, nine hundred seventy thousand, six hundred seventy-two".