82188220607361 has 64 divisors (see below), whose sum is σ = 136156838388480. Its totient is φ = 48564836352000.

The previous prime is 82188220607357. The next prime is 82188220607387. The reversal of 82188220607361 is 16370602288128.

82188220607361 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 8 + 2 + 20 + 607 + 3 + 6 + 1 = 666.

It is not a de Polignac number, because 82188220607361 - 2² = 82188220607357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 82188220607298 and 82188220607307.

It is not an unprimeable number, because it can be changed into a prime (82188220609361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16737841 + ... + 21083921.

It is an arithmetic number, because the mean of its divisors is an integer number (2127450599820).

Almost surely, 2^{82188220607361} is an apocalyptic number.

It is an amenable number.

82188220607361 is a deficient number, since it is larger than the sum of its proper divisors (53968617781119).

82188220607361 is a wasteful number, since it uses less digits than its factorization.

82188220607361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4347695 (or 4347689 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 82188220607361 in words is "eighty-two trillion, one hundred eighty-eight billion, two hundred twenty million, six hundred seven thousand, three hundred sixty-one".