84773121101824 has 117 divisors (see below), whose sum is σ = 170453259693349. Its totient is φ = 42155864145920.

The previous prime is 84773121101821. The next prime is 84773121101827. The reversal of 84773121101824 is 42810112137748.

The square root of 84773121101824 is 9207232.

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

84773121101824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (84773121101821) and next prime (84773121101827).

It can be written as a sum of positive squares in only one way, i.e., 80207070105600 + 4566050996224 = 8955840^2 + 2136832^2 .

It is a super-3 number, since 3×84773121101824³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84773121101821) 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, 172654014219 + ... + 172654014709.

Almost surely, 2^{84773121101824} is an apocalyptic number.

84773121101824 is the 9207232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84773121101824

84773121101824 is an abundant number, since it is smaller than the sum of its proper divisors (85680138591525).

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

84773121101824 is an frugal number, since it uses more digits than its factorization.

84773121101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The spelling of 84773121101824 in words is "eighty-four trillion, seven hundred seventy-three billion, one hundred twenty-one million, one hundred one thousand, eight hundred twenty-four".