82446511564428 has 96 divisors (see below), whose sum is σ = 213953091690240. Its totient is φ = 24499088640000.

The previous prime is 82446511564427. The next prime is 82446511564429.

82446511564428 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (82446511564427) and next prime (82446511564429).

It is not an unprimeable number, because it can be changed into a prime (82446511564421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10076953 + ... + 16322928.

It is an arithmetic number, because the mean of its divisors is an integer number (2228678038440).

Almost surely, 2^{82446511564428} is an apocalyptic number.

It is an amenable number.

82446511564428 is an abundant number, since it is smaller than the sum of its proper divisors (131506580125812).

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

82446511564428 is a wasteful number, since it uses less digits than its factorization.

82446511564428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26400359 (or 26400357 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 60.

The spelling of 82446511564428 in words is "eighty-two trillion, four hundred forty-six billion, five hundred eleven million, five hundred sixty-four thousand, four hundred twenty-eight".