2643563817216 has 405 divisors, whose sum is σ = 9175277133561. Its totient is φ = 754835687424.

The previous prime is 2643563817199. The next prime is 2643563817247. The reversal of 2643563817216 is 6127183653462.

The square root of 2643563817216 is 1625904.

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

2643563817216 is a `hidden beast` number, since 2 + 6 + 4 + 3 + 563 + 8 + 1 + 72 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1651739040000 + 991824777216 = 1285200^2 + 995904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1638910426 + ... + 1638912038.

Almost surely, 2^{2643563817216} is an apocalyptic number.

2643563817216 is the 1625904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2643563817216

2643563817216 is an abundant number, since it is smaller than the sum of its proper divisors (6531713316345).

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

2643563817216 is an frugal number, since it uses more digits than its factorization.

2643563817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 1625 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 2643563817216 in words is "two trillion, six hundred forty-three billion, five hundred sixty-three million, eight hundred seventeen thousand, two hundred sixteen".