84307985435844 has 81 divisors (see below), whose sum is σ = 226387769513997. Its totient is φ = 26449270236288.

The previous prime is 84307985435837. The next prime is 84307985435851. The reversal of 84307985435844 is 44853458970348.

The square root of 84307985435844 is 9181938.

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

84307985435844 is a `hidden beast` number, since 8 + 4 + 3 + 0 + 79 + 8 + 543 + 5 + 8 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (84307985435837) and next prime (84307985435851).

It can be written as a sum of positive squares in only one way, i.e., 65637704924100 + 18670280511744 = 8101710^2 + 4320912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 936512667 + ... + 936602685.

Almost surely, 2^{84307985435844} is an apocalyptic number.

84307985435844 is the 9181938-th square number.

It is an amenable number.

84307985435844 is an abundant number, since it is smaller than the sum of its proper divisors (142079784078153).

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

84307985435844 is an frugal number, since it uses more digits than its factorization.

84307985435844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180082 (or 90041 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 84307985435844 in words is "eighty-four trillion, three hundred seven billion, nine hundred eighty-five million, four hundred thirty-five thousand, eight hundred forty-four".