84759005956 has 27 divisors (see below), whose sum is σ = 155082212341. Its totient is φ = 40530510944.

The previous prime is 84759005951. The next prime is 84759005957. The reversal of 84759005956 is 65950095748.

The square root of 84759005956 is 291134.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 64685783556 + 20073222400 = 254334^2 + 141680^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84759005956.

It is not an unprimeable number, because it can be changed into a prime (84759005951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13389000 + ... + 13395328.

Almost surely, 2^84759005956 is an apocalyptic number.

84759005956 is the 291134-th square number.

It is an amenable number.

84759005956 is a deficient number, since it is larger than the sum of its proper divisors (70323206385).

84759005956 is an frugal number, since it uses more digits than its factorization.

84759005956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12708 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 58.

The spelling of 84759005956 in words is "eighty-four billion, seven hundred fifty-nine million, five thousand, nine hundred fifty-six".