84383278144 has 63 divisors (see below), whose sum is σ = 184110261573. Its totient is φ = 38344416000.

The previous prime is 84383278129. The next prime is 84383278153. The reversal of 84383278144 is 44187238348.

The square root of 84383278144 is 290488.

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., 17447239744 + 66936038400 = 132088^2 + 258720^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 84383278091 and 84383278100.

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, 25561294 + ... + 25564594.

Almost surely, 2^84383278144 is an apocalyptic number.

84383278144 is the 290488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84383278144

84383278144 is an abundant number, since it is smaller than the sum of its proper divisors (99726983429).

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

84383278144 is an frugal number, since it uses more digits than its factorization.

84383278144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6636 (or 3314 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 52.

The spelling of 84383278144 in words is "eighty-four billion, three hundred eighty-three million, two hundred seventy-eight thousand, one hundred forty-four".