84998204712 has 320 divisors, whose sum is σ = 251693600400. Its totient is φ = 26769346560.

The previous prime is 84998204689. The next prime is 84998204717. The reversal of 84998204712 is 21740289948.

84998204712 is a `hidden beast` number, since 8 + 4 + 99 + 82 + 0 + 471 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13134535236 + 71863669476 = 114606^2 + 268074^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (84998204717) 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 79 ways as a sum of consecutive naturals, for example, 130165378 + ... + 130166030.

Almost surely, 2^84998204712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84998204712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125846800200).

84998204712 is an abundant number, since it is smaller than the sum of its proper divisors (166695395688).

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

84998204712 is a wasteful number, since it uses less digits than its factorization.

84998204712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 84998204712 in words is "eighty-four billion, nine hundred ninety-eight million, two hundred four thousand, seven hundred twelve".