82840752144 has 60 divisors (see below), whose sum is σ = 231869714076. Its totient is φ = 27609931776.

The previous prime is 82840752131. The next prime is 82840752161. The reversal of 82840752144 is 44125704828.

82840752144 is a `hidden beast` number, since 8 + 2 + 84 + 0 + 7 + 521 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63195926544 + 19644825600 = 251388^2 + 140160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82840752144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1192084 + ... + 1259660.

Almost surely, 2^82840752144 is an apocalyptic number.

It is an amenable number.

82840752144 is an abundant number, since it is smaller than the sum of its proper divisors (149028961932).

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

82840752144 is a wasteful number, since it uses less digits than its factorization.

82840752144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76104 (or 76095 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 82840752144 in words is "eighty-two billion, eight hundred forty million, seven hundred fifty-two thousand, one hundred forty-four".