2217466461456 has 135 divisors (see below), whose sum is σ = 6414074214327. Its totient is φ = 715133067840.

The previous prime is 2217466461449. The next prime is 2217466461461. The reversal of 2217466461456 is 6541646647122.

The square root of 2217466461456 is 1489116.

It is a perfect power (a square), and thus also a powerful number.

2217466461456 is a `hidden beast` number, since 2 + 2 + 1 + 74 + 6 + 64 + 61 + 456 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 553949151 + ... + 553953153.

Almost surely, 2^{2217466461456} is an apocalyptic number.

2217466461456 is the 1489116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2217466461456

2217466461456 is an abundant number, since it is smaller than the sum of its proper divisors (4196607752871).

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

2217466461456 is an frugal number, since it uses more digits than its factorization.

2217466461456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8082 (or 4039 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 2217466461456 in words is "two trillion, two hundred seventeen billion, four hundred sixty-six million, four hundred sixty-one thousand, four hundred fifty-six".