8357886782001 has 9 divisors (see below), whose sum is σ = 12072515657241. Its totient is φ = 5571918739332.

The previous prime is 8357886781967. The next prime is 8357886782009. The reversal of 8357886782001 is 1002876887538.

The square root of 8357886782001 is 2891001.

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

8357886782001 is a `hidden beast` number, since 8 + 357 + 8 + 8 + 6 + 78 + 200 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 8357886782001 - 2⁷ = 8357886781873 is a prime.

It is a super-3 number, since 3×8357886782001³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8357886782001.

It is not an unprimeable number, because it can be changed into a prime (8357886782009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8191170 + ... + 9154836.

Almost surely, 2^{8357886782001} is an apocalyptic number.

8357886782001 is the 2891001-st square number.

8357886782001 is the 1445501-st centered octagonal number.

It is an amenable number.

8357886782001 is a deficient number, since it is larger than the sum of its proper divisors (3714628875240).

8357886782001 is an frugal number, since it uses more digits than its factorization.

8357886782001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927340 (or 963670 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 8357886782001 in words is "eight trillion, three hundred fifty-seven billion, eight hundred eighty-six million, seven hundred eighty-two thousand, one".