8001946277361 has 16 divisors (see below), whose sum is σ = 11868535883200. Its totient is φ = 5328420555744.

The previous prime is 8001946277329. The next prime is 8001946277393. The reversal of 8001946277361 is 1637726491008.

8001946277361 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 9 + 4 + 6 + 277 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (8001946277329) and next prime (8001946277393).

It is not a de Polignac number, because 8001946277361 - 2⁵ = 8001946277329 is a prime.

It is a super-2 number, since 2×8001946277361² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8001946277298 and 8001946277307.

It is not an unprimeable number, because it can be changed into a prime (8001946297361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172484596 + ... + 172530981.

It is an arithmetic number, because the mean of its divisors is an integer number (741783492700).

Almost surely, 2^{8001946277361} is an apocalyptic number.

It is an amenable number.

8001946277361 is a deficient number, since it is larger than the sum of its proper divisors (3866589605839).

8001946277361 is a wasteful number, since it uses less digits than its factorization.

8001946277361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345016445 (or 345016439 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 8001946277361 in words is "eight trillion, one billion, nine hundred forty-six million, two hundred seventy-seven thousand, three hundred sixty-one".