2247216281856 has 864 divisors, whose sum is σ = 8216650810368. Its totient is φ = 574848368640.

The previous prime is 2247216281851. The next prime is 2247216281879. The reversal of 2247216281856 is 6581826127422.

2247216281856 is a `hidden beast` number, since 2 + 2 + 4 + 7 + 2 + 1 + 628 + 1 + 8 + 5 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2247216281851) 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, 1693455465 + ... + 1693456791.

It is an arithmetic number, because the mean of its divisors is an integer number (9510012512).

Almost surely, 2^{2247216281856} is an apocalyptic number.

2247216281856 is a gapful number since it is divisible by the number (26) 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 2247216281856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108325405184).

2247216281856 is an abundant number, since it is smaller than the sum of its proper divisors (5969434528512).

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

2247216281856 is a wasteful number, since it uses less digits than its factorization.

2247216281856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1590 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 2247216281856 in words is "two trillion, two hundred forty-seven billion, two hundred sixteen million, two hundred eighty-one thousand, eight hundred fifty-six".