4167281297664 has 243 divisors, whose sum is σ = 12207291810259. Its totient is φ = 1367242705920.

The previous prime is 4167281297653. The next prime is 4167281297719. The reversal of 4167281297664 is 4667921827614.

The square root of 4167281297664 is 2041392.

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

4167281297664 is a `hidden beast` number, since 4 + 1 + 6 + 7 + 281 + 297 + 6 + 64 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6957063637 + ... + 6957064235.

Almost surely, 2^{4167281297664} is an apocalyptic number.

4167281297664 is the 2041392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4167281297664

4167281297664 is an abundant number, since it is smaller than the sum of its proper divisors (8040010512595).

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

4167281297664 is an frugal number, since it uses more digits than its factorization.

4167281297664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 675 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 4167281297664 in words is "four trillion, one hundred sixty-seven billion, two hundred eighty-one million, two hundred ninety-seven thousand, six hundred sixty-four".