84313347772900 has 27 divisors (see below), whose sum is σ = 182960163921801. Its totient is φ = 33725302380240.

The previous prime is 84313347772883. The next prime is 84313347772919. The reversal of 84313347772900 is 927774331348.

It is a happy number.

The square root of 84313347772900 is 9182230.

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., 30352805198244 + 53960542574656 = 5509338^2 + 7345784^2 .

It is a super-2 number, since 2×84313347772900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 91363189 + ... + 92281411.

Almost surely, 2^{84313347772900} is an apocalyptic number.

84313347772900 is the 9182230-th square number.

It is an amenable number.

84313347772900 is an abundant number, since it is smaller than the sum of its proper divisors (98646816148901).

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

84313347772900 is an frugal number, since it uses more digits than its factorization.

84313347772900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836460 (or 918230 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 58.

The spelling of 84313347772900 in words is "eighty-four trillion, three hundred thirteen billion, three hundred forty-seven million, seven hundred seventy-two thousand, nine hundred".