82188805954419 has 48 divisors (see below), whose sum is σ = 121942732234752. Its totient is φ = 53330198995584.

The previous prime is 82188805954373. The next prime is 82188805954441. The reversal of 82188805954419 is 91445950888128.

82188805954419 is a `hidden beast` number, since 8 + 2 + 1 + 88 + 80 + 5 + 9 + 54 + 419 = 666.

It is not a de Polignac number, because 82188805954419 - 2³⁷ = 82051367000947 is a prime.

It is a super-2 number, since 2×82188805954419² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82188805954459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9334767 + ... + 15859239.

It is an arithmetic number, because the mean of its divisors is an integer number (2540473588224).

Almost surely, 2^{82188805954419} is an apocalyptic number.

82188805954419 is a deficient number, since it is larger than the sum of its proper divisors (39753926280333).

82188805954419 is a wasteful number, since it uses less digits than its factorization.

82188805954419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6524816 (or 6524813 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 72.

The spelling of 82188805954419 in words is "eighty-two trillion, one hundred eighty-eight billion, eight hundred five million, nine hundred fifty-four thousand, four hundred nineteen".